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Physics · Class 12 Science

Ch 9Current Electricity — Class 12 Physics, concept-first.

In Class XI you studied why materials conduct electricity in the first place -- the origin of electrical conductivity, especially in metals -- and you learned how to collapse a chain of resistors wired purely in series, or purely in parallel, into one single equivalent resistance.

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Chapter contents

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9.1

Introduction

In Class XI you studied why materials conduct electricity in the first place -- the origin of electrical conductivity, especially in metals -- and you learned how to collapse a chain of resistors wire…

9.2

Kirchhoff's Laws of Electrical Network

Before the two laws themselves can be stated precisely, three words that describe the LAYOUT of a circuit need fixed meanings, because Kirchhoff's laws are written in terms of exactly these three thin…

9.2.1

Kirchhoff's First Law (Current Law / Junction Law)

Kirchhoff's first law -- also called the current law or the junction law -- states that the algebraic sum of the currents meeting at any junction of an electrical network is zero:

9.2.2

Kirchhoff's Voltage Law

Kirchhoff's second law -- the voltage law -- states that around any closed loop of an electrical network, the algebraic sum of every product of current and resistance (every 'IR' potential drop) toget…

9.3

Wheatstone Bridge

Many physical quantities besides a wire's own material and geometry can shift the value of a resistance -- temperature, mechanical strain, humidity, the level of a liquid, and more all change how much…

9.3.1

Metre Bridge

The basic Wheatstone-bridge circuit of Section 9.3 is used, in practice, in several different physical forms, each built to determine some unknown resistance conveniently and precisely.

9.4

Potentiometer

A voltmeter is the everyday device used to measure the potential difference between two points in a circuit.

9.4.1

Potentiometer Principle

A potentiometer consists physically of a long wire AB, of length L, resistance R and uniform cross-sectional area A, connected across a driving cell of emf and internal resistance r (together with a k…

9.4.2

Uses of Potentiometer

Because the potential gradient K stays fixed once the driving cell, the wire and the rheostat setting are all fixed, an unknown potential difference can be measured simply by finding the LENGTH of wir…

9.4.3

Advantages of a Potentiometer Over a Voltmeter

Compared with an ordinary voltmeter, a potentiometer used at its balance point has three real merits. First, it is MORE SENSITIVE than a voltmeter -- a very small potential difference, of order V, can…

9.5

Galvanometer

A galvanometer is a device built to detect weak electric currents flowing in a circuit. Inside it, a coil of fine wire is pivoted (or, in a more sensitive design, suspended) so that it can rotate free…

9.5.1

Galvanometer as an Ammeter

Turning a moving-coil galvanometer (MCG) into an ammeter -- an instrument for measuring current, connected in SERIES with the part of the circuit whose current is to be measured -- needs three things…

9.5.2

Galvanometer as a Voltmeter

Turning a moving-coil galvanometer into a voltmeter -- an instrument for measuring potential difference, connected in PARALLEL with the part of the circuit across which the voltage drop is to be measu…

9.6

Thermoelectricity

When an electric current is driven through a resistor, electrical energy is converted into thermal (heat) energy -- this is the everyday, familiar direction of the conversion.

9.6.1

Seebeck Effect

If two different (dissimilar) metals are joined at two points to form a single closed loop, and these two junctions are then held at DIFFERENT temperatures, a small emf is produced within the loop and…

Long Answer Questions

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

+Show 26 questions26 questions
  1. Q1The combined resistance of a galvanometer of resistance 500 Ω and its shunt is 21 Ω. Calculate the value of the shunt.Preview
  2. Q2In potentiometer experiment, if $l_1$ is the balancing length for e.m.f. of a cell of internal resistance r and $l_2$ is the balancing lengt…Preview
  3. Q3Describe Kelvin's method to determine the resistance of a galvanometer by using a metre bridge.Preview
  4. Q4State the advantages of potentiometer over voltmeter.Preview
  5. Q5An unknown resistance is placed in the left gap and resistance of 50 ohm is placed in the right gap of a meter bridge. The null point is obt…Preview
  6. Q6Explain with a neat circuit diagram how will you determine unknown resistance 'X' by using meter bridge.Preview
  7. Q7When a resistor of 5 $\Omega$ is connected across the cell, its terminal potential difference is balanced by 150 cm of potentiometer wire an…Preview
  8. Q8If the length of a potentiometer wire is increased by keeping constant potential difference across the wire, then _______. (A) null point is…Preview
  9. Q9Two resistances X and Y in the two gaps of a meter-bridge gives a null point dividing the wire in the ratio 2:3. If each resistance is incre…Preview
  10. Q10State the advantages and disadvantages of a moving coil galvanometer. A moving coil galvanometer (M.C.G.) has 10 turns each of length 12 cm…Preview
  11. Q11Define potential gradient of the potentiometer wire.Preview
  12. Q12Distinguish between potentiometer and voltmeter.Preview
  13. Q13Two cells of emf 4V and 2V having respective internal resistance of 1$\Omega$ and 2$\Omega$ are connected in parallel, so as to send current…Preview
  14. Q14Draw a neat, labelled diagram of a suspended coil type moving coil galvanometer. The initial pressure and volume of a gas enclosed in a cyli…Preview
  15. Q15What is the value of resistance for an ideal voltmeter?Preview
  16. Q16How will you convert a moving coil galvanometer into an ammeter?Preview
  17. Q17Explain the use of potentiometer to determine internal resistance of a cell.Preview
  18. Q18To convert a moving coil galvanometer into an ammeter we need to connect a ______. (a) small resistance in parallel with it (b) large resist…Preview
  19. Q19What is the resistance of an ideal voltmeter?Preview
  20. Q20A galvanometer has a resistance of 30Ω and its full scale deflection current is 20 microampere (μA). What resistance should be added to it t…Preview
  21. Q21Which of the following equations gives correct expression for the internal resistance of a cell by using potentiometer? (a) r = R(V/E − 1) (…Preview
  22. Q22State the advantages of a potentiometer over a voltmeter.Preview
  23. Q23A galvanometer has a resistance of 50 Ω and a current of 2 mA is needed for its full scale deflection. Calculate resistance required to conv…Preview
  24. Q24Name an instrument for measurement of e.m.f. of a cell.Preview
  25. Q25State any two sources of error in meter bridge experiment. Explain how they can be minimised.Preview
  26. Q26A galvanometer has a resistance of 40Ω and a current of 4 mA is needed for full scale deflection. What is the resistance and how is it to be…Preview

More questions

31 Q
+Show 13 questions13 questions
  1. Q8Define or describe a Potentiometer.Free
  2. Q9Define Potential Gradient.Free
  3. Q10Why should not the jockey be slided along the potentiometer wire?Free
  4. Q11Are Kirchhoff's laws applicable for both AC and DC currents?Preview
  5. Q12In a Wheatstone's meter-bridge experiment, the null point is obtained in the middle one third portion of the wire. Why is it recommended?Preview
  6. Q13State any two sources of errors in a meter-bridge experiment. Explain how they can be minimized.Preview
  7. Q14What is potential gradient? How is it measured? Explain.Preview
  8. Q15On what factors does the potential gradient of the wire depend?Preview
  9. Q16Why is a potentiometer preferred over a voltmeter for measuring emf?Preview
  10. Q17State the uses of a potentiometer.Preview
  11. Q18What are the disadvantages of a potentiometer?Preview
  12. Q19Distinguish between a potentiometer and a voltmeter.Preview
  13. Q20What will be the effect on the position of zero deflection if only the current flowing through the potentiometer wire is (i) increased (ii)…Preview
+Show 7 questions7 questions
  1. Q1Kirchhoff's first law, i.e., \sum I = 0 at a junction, deals with the conservation of (A) charge (B) energy (C) momentum (D) massFree
  2. Q2When the balance point is obtained in the potentiometer, a current is drawn from (A) both the cells and auxiliary battery (B) cell only (C)…Free
  3. Q3In the following circuit diagram, an infinite series of resistances is shown. Equivalent resistance between points A and B is (A) 2 \Omega (…Free
  4. Q4Four resistances 10 \Omega, 10 \Omega, 10 \Omega and 15 \Omega form a Wheatstone's network. What shunt is required across the 15 \Omega resi…Preview
  5. Q5A circular loop has a resistance of 40 \Omega. Two points P and Q of the loop, which are one quarter of the circumference apart, are connect…Preview
  6. Q6To find the resistance of a gold bangle, two diametrically opposite points of the bangle are connected to the two terminals of the left gap…Preview
  7. Q7[content not recoverable from extraction -- the question stem is missing. The scanned textbook's two-column exercise page interleaved a set…Preview
+Show 11 questions11 questions
  1. Q28A battery of emf 4 volt and internal resistance 1 \Omega is connected in parallel with another battery of emf 1 V and internal resistance 1…Free
  2. Q29Two cells of emf 1.5 Volt and 2 Volt having respective internal resistances of 1 \Omega and 2 \Omega are connected in parallel so as to send…Free
  3. Q30A voltmeter has a resistance of 30 \Omega. What will be its reading, when it is connected across a cell of emf 2 V having internal resistanc…Free
  4. Q31A set of three coils having resistances 10 \Omega, 12 \Omega and 15 \Omega are connected in parallel. This combination is connected in serie…Preview
  5. Q32A potentiometer wire has a length of 1.5 m and resistance of 10 \Omega. It is connected in series with a cell of emf 4 Volt and internal res…Preview
  6. Q33When two cells of emfs \varepsilon_1 and \varepsilon_2 are connected in series so as to assist each other, their balancing length on a poten…Preview
  7. Q34The emf of a cell is balanced by a length of 120 cm of potentiometer wire. When the cell is shunted by a resistance of 10 \Omega, the balanc…Preview
  8. Q35A potential drop per unit length along a wire is 5 x 10^-3 V/m. If the emf of a cell balances against a length of 216 cm of this potentiomet…Preview
  9. Q36The resistance of a potentiometer wire is 8 \Omega and its length is 8 m. A resistance box and a 2 V battery are connected in series with it…Preview
  10. Q37Find the equivalent resistance between the terminals F and B in the network shown in the figure below, given that the resistance of each res…Preview
  11. Q38A voltmeter has a resistance of 100 \Omega. What will be its reading when it is connected across a cell of emf 2 V and internal resistance 2…Preview