Question

# Two small metal spheres A and B have different electric potentials (A has a higher potential). Describe in words and mathematically what happens if you connect them with a wire. What assumptions did you make?

Solution

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It is given that,

$V_A > V_B$

Initially, the potential of sphere A is,

\begin{align*} V_A &= \dfrac{k q_A}{R_A} \end{align*}

The potential of sphere B is,

\begin{align*} V_B &= \dfrac{k q_B}{R_B} \end{align*}

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