In the diagram is shown an RL circuit with a switch. ?-85.0 v, R1-25.0 ?,R2-50.0
ID: 2037809 • Letter: I
Question
In the diagram is shown an RL circuit with a switch. ?-85.0 v, R1-25.0 ?,R2-50.0 ? and L 65.0 H. Find the values of is, the current through resistor Rs and i2, the current through resistor R2, the current through the switch, the potential difference across R2, the potential difference across L and the rate of change of the current di2/dt in the time just after the closing of the switch il i2 RI What is l? just after the switch is closed? What is i2 just after the switch is closed? What is the value of the current in the switch just after the switch is closed? What is the the potential difference across R2 just after the switch is closed? What is the the potential difference across L just after the switch is closed? What is the rate of change of the current diz/dt in the time just after the closing of the switch? What is ii a long time after the switch is closed? What is i2 a long time after the switch is closed? What is the value of the current in the switch a long time after the switch is closed? What is the the potential difference across R2 a long time after the switch is closed? What is the the potential difference across L a long time after the switch is closed? What is the rate of change of the current diz/dt a long time after the closing of the switch?Explanation / Answer
a) Just aftre the switch is closed inductor acts as open circuit.
i1 = V/R1 = 85/25 = 3.40 A
b) i2 = 0
c) i = i1 + i2
= 3.40 + 0
= 3.40 A
d) potential diffrence across R2 = 0
e) potential diffrence across L = potential diffrence across R1
= 85 V
f) V_L = L*di2/dt
==> di2/dt = V_L/L
= 85/65
= 1.308 A/s
g) i1 = V/R1 = 85/25 = 3.40 A
h) i2 = V/R2 = 85/50 = 1.70 A
i) i = i1 + i2
= 3.4 + 1.7
= 5.10 A
j) V2 = i2*R2
= 1.7*50
= 85 V
k) v_L = 0
L) di2/dt = 0