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A current of 4A flows in a coil when con...

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

    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

    A
    17.28 W
    B
    8.64 W
    C
    10 W
    D
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  • A steady 4 A flows in an inductor coil when connected to a 12 V source as shown in figure. If the same coil is connected to an ac source of 12 V , 50 "rad"//s a currentd of 2.4 A flows in the circuit as shown in figure2. Now after these observations , a capacitor fo capacitance (1)/(50) F is connected in series with the coil and with same AC source as shown in figure 3. The resistance of the coil is:

    A
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    B
    `2 Omega`
    C
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    D
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