In the circuit in the figure, a battery supplies V emf = 13.0 V and R 1 = 5.00 ?
ID: 2256219 • Letter: I
Question
In the circuit in the figure, a battery supplies Vemf = 13.0 V and R1 = 5.00 ?, R2 = 5.00 ?, and L = 7.00 H. Calculate each of the following immediately after the switch is closed:
a) the magnitude of the current flowing out of the battery?
b) the magnitude of the current through R1
c) the magnitude of the current through R2
d) the magnitude of the potential difference across R1
d) the magnitude of the potential difference across R2
f) the magnitude of the potential difference across L
g) the rate of current change across R1
In the circuit in the figure, a battery supplies Vemf = 13.0 V and R1 = 5.00 ?, R2 = 5.00 ?, and L = 7.00 H. Calculate each of the following immediately after the switch is closed: the magnitude of the current flowing out of the battery? the magnitude of the current through R1 the magnitude of the current through R2 the magnitude of the potential difference across R1 the magnitude of the potential difference across R2 the magnitude of the potential difference across L the rate of current change across R1
Explanation / Answer
when switch is closed, initially inductor acts as open ckt
Rnet = R2 = 5 ohms
a) i = V/Rnet = 13/5 = 2.6 A
b) as inductor acts as open ckt, current through inductor and R1 is zero.
c) current through R2 and battery,i = V/Rnet = 13/5 = 2.6 A
d) as current through R1 is zero potential across R1 is zero.
e) potentail difference across R2 = V = 13 volts
f) potential difference across inductor = V = 13 volts
g)
i = io*(1 - e^(-t/T))
di/dt = io*e^(-t/T)*(-1/T)
di/dt = -io*e^(-t/T)/T