Question

The current through inductance L is given by I=I0e−t/τ
A.) Find an expression for the potential difference ΔVL across the inductor.
B.) Evaluate ΔVL at t=0s , if L=15mH , I0=36mA , and τ=1.1ms
C.) Evaluate ΔVL at t=1ms , if L=15mH , I0=36mA , and τ=1.1ms
D.) Evaluate ΔVL at t=2ms , if L=15mH , I0=36mA , and τ=1.1ms
E.) Evaluate ΔVL at t=3ms , if L=15mH , I0=36mA , and τ=1.1ms

Answer 1

ΔVl = L di/dt
i = i₀e -t/T
di/dt = i₀ × (-1/T) e -t/T
ΔVl = L× (-I/T i₀e -t/T
ΔVl = -L/T i₀e -t/T

b. 15mm, i₀ = 36mA, T = 1.1m
t= Os
ΔVl = 0,491V
C. t = 1ms
ΔVl = 0.198V
t = 2ms
ΔVl = 0.08V

E. t = ms
ΔVl = 0.032V