Number 17 What is the difference between the storage propert

What is the difference between the storage properties of a capacitor and the storage properties of an inductor? 2. For the expression i_L =5mA(1-e^-1/2ms), determine the time constant tau and determine R if L=8H. 3. Determine the time constant and R in a circuit whose capacitor value is 470muF and is fully charged after 4.7s. 4. What is the difference in the inductor and capacitor under state conditions with DC source? 5. Determine the mathematical expression for v_c in the following circuit. 6. For the previous circuit, determine v_c at t=0.056s. 7. For the circuit in, determine the current i_c and the voltage across

Solution

1. Inductor stores energy in the Magnetic field whereas Capacitor stores enegy in the Electric field

2. Time constant T=2 m sec =L/R

R=L/T=4000 ohms

3. 5 time constants =time for full charge

5*T=4.7 sec

T=0.94 sec

R=T/C=2000 ohms

4. Steady state Inductor acts as short circuit and cpacitor acts as open circuit in DC

5.Vc(t)=15- (15-6)*e^(-t/RC)

Vc(t)=15 - 9*e^(-33.33t) V

6.Vc(t=0.056)=13.61 V