A real voltmeter has resistance Rv. In the circuit shown, thevoltmeter acts as a

Question

A real voltmeter has resistance Rv. In the circuit shown, thevoltmeter acts as a resistor, and affects the terminal voltage Vthat is mesures across the battery. a) Derive an equation for V in terms of Rv, r, and. b) Say V is 1% less than the value of . Using the valuesr=0.75 and =4.5v, determine the voltmeter'sresistance. A real voltmeter has resistance Rv. In the circuit shown, thevoltmeter acts as a resistor, and affects the terminal voltage Vthat is mesures across the battery. a) Derive an equation for V in terms of Rv, r, and. b) Say V is 1% less than the value of . Using the valuesr=0.75 and =4.5v, determine the voltmeter'sresistance.

Explanation / Answer

voltmeter acts as a resistor and what is shown us is the voltagedifference between its two heads. a) Main current. I=E/(r+Rv). so Uv=I*Rv=E*Rv/(r+Rv)=E*(1-r/(Rv+r)). b) V is 1% less than so. Uv=0,99E. so 1-r/(Rv+r)=0,99. so r/(Rv+r)=0,01. from this you can get Rv from r

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