Question

In (A parallel plate capacitor is charged by an ac source. Show that the sum of conduction current Ic and the displacement current Id has the same value at all points of the circuit.), is Kirchhoff's first rule (junction rule) valid at each plate of the capacitor? Explain.

Hint:

Kirchhoff's first rule is based on the conservation of charge, and it applies in all circuits, including those involving capacitors with displacement currents.

Answer 1

Yes, Kirchhoff's first rule (junction rule) is valid at each plate of the capacitor. This rule states that the sum of currents entering a junction must equal the sum of currents leaving the junction. At each plate of the capacitor, the conduction current entering the plate is equal to the displacement current leaving the plate, ensuring that the total current at the junction is conserved. Therefore, Kirchhoff’s first rule holds true even in the case of a capacitor with both conduction and displacement currents.