The phase difference between current and volt | vedclass

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(D) The frequency of the $AC$ supply is $f = 50\, Hz$.The time period $T$ of the $AC$ cycle is given by $T = 1/f = 1/50 = 0.02\, s$.$A$ phase differen

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$2.5\, ms$

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(D) The frequency of the $AC$ supply is $f = 50\, Hz$.The time period $T$ of the $AC$ cycle is given by $T = 1/f = 1/50 = 0.02\, s$.$A$ phase difference of $2\pi$ radians corresponds to one complete time period $T = 0.02\, s$.Therefore,a phase difference of $\Delta\phi = \pi/4$ radians corresponds to a time difference $\Delta t$ calculated as:$\Delta t = (\Delta\phi / 2\pi) 	imes T$$\Delta t = ((\pi/4) / 2\pi) 	imes 0.02\, s$$\Delta t = (1/8) 	imes 0.02\, s = 0.0025\, s$.Converting to milliseconds,$\Delta t = 0.0025 	imes 1000\, ms = 2.5\, ms$.

The phase difference between current and voltage in an $AC$ circuit is $\pi/4$ radian. If the frequency of $AC$ is $50\, Hz$,then the phase difference is equivalent to the time difference:

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