Final answer:
To determine the values of resistance R, capacitance C, p.d. across C, and p.d. across the coil in the given series circuit, we need to calculate the impedance, reactances, and use Ohm's Law. To draw the phasor diagram, represent each component as a phasor with magnitude proportional to its impedance/reactance and the phase angle determined by the circuit's characteristics.
Step-by-step explanation:
To determine the values of resistance R, capacitance C, p.d. across C, and p.d. across the coil in the given series circuit, we need to use the concepts of impedance, reactance, and phase angles. First, calculate the impedance of the circuit using the formula Z = sqrt(R^2 + (XL - XC)^2), where XL is the inductive reactance and XC is the capacitive reactance. Then, calculate the reactances XL and XC using the formulas XL = 2 * pi * f * L and XC = 1 / (2 * pi * f * C), where f is the frequency, L is the inductance, and C is the capacitance.
Once you have the impedance, you can find the resistance R by comparing it to the impedance: R = sqrt(Z^2 - (XL - XC)^2). To determine the capacitance C, use the formula C = 1 / (2 * pi * f * XC). The p.d. across C can be found using Ohm's Law: Vc = I * XC, where Vc is the p.d. across C and I is the current. As for the p.d. across the coil, use the formula Vl = I * XL, where Vl is the p.d. across the coil.
To draw the phasor diagram, represent each component as a phasor with the magnitude proportional to its respective impedance or reactance, and the phase angle determined by the circuit's characteristics. The voltages across each component can be represented by the lengths of the phasors.