A parallel-plate air-spaced capacitor of capacitance C and a resistor of resistance R are in series with an ac source of frequency ω. The voltage-drop across R is VR. Half the capacitor is now filled with a material of dielectric constant K but the remainder of the circuit remains unchanged. The voltage-drop across R is now 2VR. Neglecting edge effects, the dielectric constant K is m1−nR2C2ω2−1. Find the value of m + n.