Question

The values of $X_L,X_C$ and R in series with an A.C. circuit are 8$\Omega$ , 6$\Omega$ and 10$\Omega$ respectively. The
total impedance of the circuit will be ________$\Omega$

• A. $10.2$
• B. $12.2$
• C. $10$
• D. $24.4$

Answer 1

Answer: (A)

$10.2$

$Z=\sqrt{R^2+(X_L-X_C{)}^2}$

$=\sqrt{(10{)}^2+(8-6{)}^2}$

$=\sqrt{{10}^2+2^2}$

$=\sqrt{100+4}$

$=10.2\Omega$