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Example · Example 5

Q.Three point charges q1=+1 μCq_1 = +1\ \mu\text{C}, q2=−2 μCq_2 = -2\ \mu\text{C} and q3=+3 μCq_3 = +3\ \mu\text{C} are situated at distances of 1 m1\ \text{m}, 2 m2\ \text{m} and 3 m3\ \text{m} respectively from a point PP. Find the net electric potential at PP.

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Using superposition, VP=k(q1/r1+q2/r2+q3/r3)V_P = k(q_1/r_1 + q_2/r_2 + q_3/r_3) with q1=1 μC,r1=1 mq_1=1\ \mu\text{C}, r_1=1\ \text{m}; q2=−2 μC,r2=2 mq_2=-2\ \mu\text{C}, r_2=2\ \text{m}; q3=3 μC,r3=3 mq_3=3\ \mu\text{C}, r_3=3\ \text{m}:

q1r1=1×10−6,q2r2=−1×10−6,q3r3=1×10−6\frac{q_1}{r_1} = 1\times 10^{-6},\quad \frac{q_2}{r_2} = -1\times 10^{-6},\quad \frac{q_3}{r_3} = 1\times 10^{-6} …

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