All Problems

Electric Capacitance, Energy of an Electric Field

Problem 3.120

Determine the potential difference φA−φB\varphi_{A}-\varphi_{B} between points AA and BB of the circuit shown in Fig. 3.23.3.23 . Under what condition is it equal to zero?

Reveal Answer
φA−φB=EC2C3−C1C4(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}
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