70. ★★ The RL circuit in Figure 25-73 consists of an ideal battery; a resistor, R; an inductor, L; and a switch, S, that has three different positions: a, b, and N. Initially, the switch is in position N (the circuit is open). After the circuit switch is moved to position a and time At elapses, the current in the circuit reaches 50% of its maximum value. The switch remains in position a for the time interval 107. After that, the switch is moved into position b. (a) What is the time constant of this RL circuit? (b) What are the values of the electric current in the circuit, the energy density in the coil, and the emf across the coil (i) when the switch has been at position a for a long time? after the switch has moved to position b and 7 seconds have elapsed? after the switch has moved to position b and 37 seconds have elapsed? Support your answers with a graph of the electric cur- rent in the circuit versus time. (ii) (iii) S N b in L R + I 000

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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70. ★★ The RL circuit in Figure 25-73 consists of an ideal
battery; a resistor, R; an inductor, L; and a switch, S,
that has three different positions: a, b, and N. Initially,
the switch is in position N (the circuit is open). After
the circuit switch is moved to position a and time At
elapses, the current in the circuit reaches 50% of its
maximum value. The switch remains in position a for
the time interval 107. After that, the switch is moved
into position b.
(a) What is the time constant of this RL circuit?
(b) What are the values of the electric current in the
circuit, the energy density in the coil, and the emf
across the coil
(i)
(ii)
(iii)
when the switch has been at position a for a
long time?
after the switch has moved to position b and
T seconds have elapsed?
after the switch has moved to position b and
37 seconds have elapsed?
Support your answers with a graph of the electric cur-
rent in the circuit versus time.
a S
N ob
R
gL
Transcribed Image Text:70. ★★ The RL circuit in Figure 25-73 consists of an ideal battery; a resistor, R; an inductor, L; and a switch, S, that has three different positions: a, b, and N. Initially, the switch is in position N (the circuit is open). After the circuit switch is moved to position a and time At elapses, the current in the circuit reaches 50% of its maximum value. The switch remains in position a for the time interval 107. After that, the switch is moved into position b. (a) What is the time constant of this RL circuit? (b) What are the values of the electric current in the circuit, the energy density in the coil, and the emf across the coil (i) (ii) (iii) when the switch has been at position a for a long time? after the switch has moved to position b and T seconds have elapsed? after the switch has moved to position b and 37 seconds have elapsed? Support your answers with a graph of the electric cur- rent in the circuit versus time. a S N ob R gL
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