7.13 A coil of inductance 0.50 H and resistance 100 Ω is connected to a 240 V, 50 Hz ac supply.

(a) What is the maximum current in the coil?

(b) What is the time lag between the voltage maximum and the current maximum?

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Payal Gupta | Contributor-Level 10

8 months ago

7.13 Inductance of the Inductor, L = 0.50 H

Resistance of the resistor, R = 100 Ω

Potential of supply voltage, V = 240 V

Frequency of the supply, $ν$ = 50 Hz

Peak voltage is given as $V_{0}$ = $\sqrt[]{2 V} = \sqrt[]{2} * 240$ = 339.41 V

Angular frequency of the supply, $ω = 2 π ν$ = 2 $π * 50 = 314.16 r a d / s$

Maximum current in the supply is given as

$I_{0}$ = $\frac{V_{0}}{\sqrt[]{R^{2} + {(ω L)}^{2}}}$ = $\frac{339.41}{\sqrt[]{100^{2} + {(314.16 * 0.50)}^{2}}}$ = 1.82 A

Equation for vol

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7.13 A coil of inductance 0.50 H and resistance 100 Ω is connected to a 240 V, 50 Hz ac supply. (a) What is the maximum current in the coil? (b) What is the time lag between the voltage maximum and the current maximum?

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