Question

At very high frequencies, the effective impendance of the given circuit will be ______ Ω.

Answer 1

Correct answer is 2.

X_L = 2πfL

f is very large

\(\therefore\) X_L is very large hence open circuit.

\(X_c = \frac{1}{2\pi fC}\)

f is very large.

\(\therefore\) X_C is very small, hence short circuit.

Final circuit

Answer 2

For ω→∞
1ωC→0⇒1→0⇒ capacitance acts as short circuit
& ωL→∞L→∞ Inductance acts as open circuit

Z=2