An LC circuit has a capacitance of 30 $\mu$F and an inductance of 15 mH. At time t = 0 the charge on the capacitor is 10 $\mu$C and the current is 20 mA. The maximum current is:
A) 18 mA
B) 20 mA
C) 25 mA
D) 35 mA
E) 42 mA

Question

Quizplus · Accepted Answer

The maximum current in an LC circuit is given by the formula: 
Imax = Qmax / Lω
where Qmax is the maximum charge on the capacitor and ω is the angular frequency of the circuit, which is given by ω = 1 / sqrt(LC).

Plugging in the given values, we get:
ω = 1 / sqrt(30 μF * 15 mH) = 377.96 rad/s
Imax = (10 μC) / (15 mH * 377.96 rad/s) = 26.53 mA

Therefore, the closest option to the calculated value is C) 25 mA.

An LC Circuit Has a Capacitance of 30 μ\muμ F and an Inductance of 15 MH

An LC Circuit Has a Capacitance of 30 $\mu$ F and an Inductance of 15 MH