- #1

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## Homework Statement

A sinusoidal supply defined by ## v(t)= 325.27 sin(314.16t+\frac{\pi}{6}) ## is connected

across a coil of resistance 25Ω and inductance of 0.5 H. The instantaneous value of the current at 2.968ms is

13.13 mA

21.6 mA

87.8mA

13.8mA

## Homework Equations

## i(t) = \frac{v(t)}{Z} ## where Z is impedance

## Z= \sqrt{R^2 + ω^2L^2} ##

## ω= 314.16 radian/s ##

## The Attempt at a Solution

## i(t) = \frac{v(t)}{Z} ##

Substituting all values getting,

2.0315 A which is not matching with any of the options.

What is wrong here?