RL Circuit. Switch to position a. t=0, i=0. t= R/L. Initially, i change is max, thus largest V L . After t>> t, all voltage is on R, di/dt=0, so V L =0. In a dc circuit, inductor behaves like a short circuit. Switch to position b. Dissipated power. Power supplied by battery.
Switch to position a
Initially, i change is max, thus largest VL. After t>>t, all voltage is on R, di/dt=0, so VL =0
In a dc circuit, inductor behaves like a short circuit
Switch to position b
Power supplied by battery
Work storedInductor & Capacitor in DC Circuit
If there is a sudden change in current or Voltage occurs in a circuit such as close or open a switch, then
Current (iL) must be continuous, i.e. i+=i-
Voltage (Vc) must be continous, i.e. V+=V-
Magnetic field energy stored in an inductor:
A battery is connected to a solenoid. When the switch is opened, the light bulb
Vmax=qmax/C, i = 0, di/dt: max
c) imax, q=0, UB max
The charge starts to flow back the other way, resulting opposite current
Speed of charging depends on L, C
The oscillations continuous indefinitely in the absence of loss (R=0)
The Vc (or charges) is out of phase with i, i.e. Vc max. at i=0, vice versa.
Oscillating block-spring systems
Which Circuit takes the least time to fully discharge the capacitors during the oscillation
Answer: (b) has smaller Ceq, thus smaller T, fast discharge
33-19P, In an oscillating LC circuit, L=3.0 mH and C=2.60 mF. At t=0 the charge on the capacitor is zero and the current is 2.00 A. (a) what is the maximum charge that will appear on the capacitor? (b) In terms of the period T of the oscillation, how much time will elapse after t=0 until the energy stored in the capacitor will be increasing at its greatest rate? c) What is this greatest rate at which energy is transferred to the capacitor?