It is possible to devise clever circuit arrangements that behave as ideal meters. The ci...

It is possible to devise clever circuit arrangements that behave as ideal meters. The circuit in Figure P19.83 is able to measure the voltage across resistor without affecting the original circuit. The resistor is an adjustable resistor whose value can be varied (e.g., by turning a knob). Analyze this circuit and show that for a certain value of the ratio this voltmeter circuit has no effect on the current in the original circuit. Find the value of this ratio. Express your answer in terms of and