Question

A resistor and an ideal inductor are connected in series to an ideal battery having a constant terminal voltage V0.(a) At the moment contact is made with the battery, the voltage across the resistor isa. V0/e.b. V0.c. V0/2.d. zero.(b) At the moment contact is made with the battery, the voltage across the inductor isa. V0/2.b. V0/e.c. V0.d. zero.

Answer 1

a. zero b. V₀

Step-by-step explanation:

This is because the total voltage V₀ = iR + Ldi/dt at the moment the contact is made, i = 0 and di/dt is high, so all the voltage goes across the inductor and there is no voltage across the resistor.

a. So the voltage across the resistor at the moment the contact is made is zero. Since V = iR = 0 × R = 0

b. So the voltage across the inductor at the moment the contact is made is

V₀ = iR + Ldi/dt = 0 + Ldi/dt = Ldi/dt

V₀ = Ldi/dt