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Question

Question: An alternating voltage given by V = 140 sin 314 t is connected across a pure resistor of\(50\Omega\)...

An alternating voltage given by V = 140 sin 314 t is connected across a pure resistor of50Ω50\Omega the rms current through the resistor is

A

1.98 A

B

5.63 A

C

8.43 A

D

2.39 A

Answer

1.98 A

Explanation

Solution

Here, ,R=50Ω,V0=140VR = 50\Omega,V_{0} = 140V

Irms=VrsmR=0.707V0R\therefore I_{rms} = \frac{V_{rsm}}{R} = \frac{0.707V_{0}}{R}

=0.707×14050= \frac{0.707 \times 140}{50}

=1.98A.= 1.98A.