All Problems

Electric Capacitance, Energy of an Electric Field

Problem 3.120

Determine the potential difference \(\varphi_{A}-\varphi_{B}\) between points \(A\) and \(B\) of the circuit shown in Fig. \(3.23 .\) Under what condition is it equal to zero?

Reveal Answer
φAφB=EC2C3C1C4(C1+C2)(C3+C4). In the ease when C1/C2=C3/C4\varphi_{A}-\varphi_{B}=\mathscr{E} \frac{C_{2} C_{3}-C_{1} C_{4}}{\left(C_{1}+C_{2}\right)\left(C_{3}+C_{4}\right)} . \text { In the ease when } C_{1} / C_{2}= C_{3}/C_{4}