Below is a diagram of an RLC circuit with the resistance, capacitance, and inductance of each component labeled. The AC voltage source is connected to a generator with a coil of wire with $20$ turns, a cross$-$sectional area of $0\mathrm{.}0045m^2,$ and is rotating at frequency of $2000$ revolutions per second in a $0\mathrm{.}03$ T magnetic field. Find $($a$)$ the RMS voltage of the circuit, $($b$)$ the impedance of the circuit, $($c$)$ the phase angle of the circuit, $($d$)$ the RMS current in the circuit, and $($e$)$ the power dissipated by the circuit after $2$ minutes.

We know from Chapter $22$ that the peak voltage can be calculated using the equation $V_{\text{m}\text{a}\text{x}}=$NAB$.$ Using this and the equation you chose above, calculate the RMS voltage for the circuit.

Integer, decimal, or E notation allowed