Question

The resonant frequency of the circuit shown will be approximately

A. 140,000 rad/s
B. 1, 400,000 rad/s
C. 140 rad/s
D. 1400 rad/s
E. 14,000 rad/s

Answer 1

The resonant frequency of the circuit is approximately 141 rad/s.

Step-by-step explanation:

The resonant frequency of the circuit can be calculated using the formula:

fo = 1 / (2π √(LC))

where L is the inductance and C is the capacitance. From the given information, L = 4.00 x 10-3 H and C = 2.00 x 10-6 F. Plugging these values into the formula, we get:

fo = 1 / (2π √(4.00 x 10-3 x 2.00 x 10-6))

fo ≈ 141.42 rad/s

Therefore, the resonant frequency of the circuit is approximately 141 rad/s (option C).