A current of `4A` flows in a coil when connected to a `12V DC` source. If the same coil is connected to a `12V, 50 rad//s AC` source, a current of `2.4A` flows in the circuit. Determine the inductance of the coil. Also, find the power developed in the circuit if a`2500muF` capacitor is connected in series with the coil.
A current of `4A` flows in a coil when connected to a `12V DC` source. If the same coil is connected to a `12V, 50 rad//s AC` source, a current of `2.4A` flows in the circuit. Determine the inductance of the coil. Also, find the power developed in the circuit if a`2500muF` capacitor is connected in series with the coil.
Text Solution
AI Generated Solution
To solve the problem step by step, we will first determine the inductance of the coil and then calculate the power developed in the circuit when a capacitor is connected in series with the coil.
### Step 1: Calculate the Resistance (R) of the Coil
When the coil is connected to a DC source, the current is given as 4 A and the voltage is 12 V. The resistance can be calculated using Ohm's law:
\[
R = \frac{V}{I} = \frac{12 \, \text{V}}{4 \, \text{A}} = 3 \, \Omega
\]
...
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Knowledge Check
A current of 4 A flows in a coil when connected to a 12 V dc source. If the same coil is connected to a 12 V, 50 rad s^(-1) ac source, a current of 2.4 A flows of the coil in the circuit. The inductance of the coil is
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A
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B
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C
0.08H
D
1.0H
A current of 4 A flows in a coil when connected to a 12 V dc source. If the same coil is connected to a 12 V, 50 rad s^(-1) ac source, a current of 2.4 A flows of the coil in the circuit. The power developed in the circuit of a 2500 (mu)F capacitor that is connected in series with the coil is
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A
17.28 W
B
8.64 W
C
10 W
D
15 W
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