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A capacitor and resistor are connected with an AC source as shown in figure. Reactance of capacitor is XC = 3 Ω and resistance of resistor is 4 Ω. -

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Question

A capacitor and resistor are connected with an AC source as shown in figure. Reactance of capacitor is XC = 3 Ω and resistance of resistor is 4 Ω. Phase difference between current I and I1 is approx ______.

Options

  • 51

  • 52

  • 53

  • 54

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Solution

A capacitor and resistor are connected with an AC source as shown in figure. Reactance of capacitor is XC = 3 Ω and resistance of resistor is 4 Ω. Phase difference between current I and I1 is approx 53.

Explanation:

I1 = `"V"_0/4`sin t

I2 = `"V"_0/3`sin t `(pi/2+"t")`

tan θ = `4/3`

θ = 53°

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