Question

The instantaneous value of emf and current in an A.C. circuit are; $E=1.414sin(100\pi t-\frac{\pi }{4})$ , $I=0.707sin\left(100\pi t\right)$ . The impedance of the circuit will be

• A. $1\Omega$
• B. $2\Omega$
• C. $\sqrt{2}\Omega$
• D. $\frac{1}{2}\Omega$

Answer 1

The correct option is B $2\Omega$

Given : $I_{max}=0.707A$ and $E_{max}=1.414$ volts
Impedance $Z=\frac{E_{max}}{I_{max}}$
$Z=\frac{1.414}{0.707}$
$Z=2\Omega$