points OSUPhys 31.4 WA001
An inductor $L = 0.0345\text{ H}$ and a $31.5\,\Omega$ resistor are connected in series to a
1.55 volt battery and a switch. At $t = 0$ the switch is closed to complete the
circuit.
(a) What is the potential difference across the resistor immediately after
the switch is closed?
V
(b) What is the potential difference across the resistor a long time after
the switch is closed?
V
(c) Which of the graphs below displays the general shape of the current
versus time through the resistor in this circuit?
(A)
$I(A)$
$I(A)$
$(s)$
$I(A)$
$I(A)$
(d) From the time the switch is closed, how long does it take for the
current to reach 63% of the maximum value?
S
(e) All circuits have a self-inductance which is generally difficult to
calculate precisely. For a single loop circuit with a $1.55\,\Omega$ resistor, a
single battery of 1.40 V, and a characteristic size (size of the loop) of
10.0 cm, the estimated inductance is $2 \times 10^{-7}\text{ H}$. What is the time constant
of this RL circuit?
S
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