Two parallel plate capacitors, \(C_{1}\) and \(C_{2},\) are con nected in series with a \(60.0-\mathrm{V}\) battery and a \(300 .-\mathrm{k} \Omega\) resistor, as shown in the figure. Both capacitors have plates with an area of \(2.00 \mathrm{~cm}^{2}\) and a separation of \(0.100 \mathrm{~mm}\). Capacitor \(C_{1}\) has air between its plates, and capacitor \(C_{2}\) has the gap filled with a certain porcelain (dielec-

Question: In a series circuit of a battery (DC voltage, V = 60 V), a resistor, \(C_1\) (a capacitor with air between its plates), \(C_2\) (a capacitor with a dielectric constant \(k = 6.0\)), determine (a) the magnitude of the capacitive reactance of the circuit, (b) the magnitude of the charge on each capacitor, and (c) the magnitude of the charge on the resistor. Given: Area of the capacitor plates, \(A = 2.00 \mathrm{~cm}^2\), and the separation between the plates, \(d = 0.100 \mathrm{~mm}\). Answer: (a) The magnitude of the capacitive reactance is \(\infty \mathrm{~\Omega}\), (b) the magnitude of the charge on each capacitor is \(87.78 \times 10^{-6} \mathrm{C}\), and (c) the magnitude of the charge on the resistor is \(0 \mathrm{C}\).