A galvanometer with a internal resistance of 40 Ω and a shunt resistor of value Rsh is connected in series with a 10 Ω resistor. A constant voltage V0 is applied across the circuit, and the galvanometer deflects a certain amount. The shunt resistor is then removed, and replaced in series with the 10 Ω resistor. With the same voltage V0, the galvanometer deflection is unchanged. Calculate the value Rsh of the shunt resistor

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N A galvanometer with a internal resistance of 40 Ω and a shunt resistor of value
Rsh is connected in series with a 10 Ω resistor. A constant voltage V0 is applied across
the circuit, and the galvanometer deflects a certain amount. The shunt resistor is then
removed, and replaced in series with the 10 Ω resistor. With the same voltage V0, the
galvanometer deflection is unchanged. Calculate the value Rsh of the shunt resistor.

d) UNSEEN Two 1k resistors are connected in series from point A to point B; their junction is
labelled C. Two more resistors are connected in series from A to B; their junction is labelled
D. A to D is a 1 kN resistor while D to B is an unknown resistor R. A galvanometer is
then connected between C and D, and a battery is connected across A and B. Finally, a
potentiometer consisting of a 20 cm length of high-resistance wire, 25 k?m-1, with a sliding
contact is connected, the bottom of the wire to B and the slider to D, in parallel to R. When
the slider is 8 cm from the bottom, the galvanometer reads zero.
i) Draw the circuit diagram.
ii) Calculate the value of the unknown resistor R.
Transcribed Image Text:d) UNSEEN Two 1k resistors are connected in series from point A to point B; their junction is labelled C. Two more resistors are connected in series from A to B; their junction is labelled D. A to D is a 1 kN resistor while D to B is an unknown resistor R. A galvanometer is then connected between C and D, and a battery is connected across A and B. Finally, a potentiometer consisting of a 20 cm length of high-resistance wire, 25 k?m-1, with a sliding contact is connected, the bottom of the wire to B and the slider to D, in parallel to R. When the slider is 8 cm from the bottom, the galvanometer reads zero. i) Draw the circuit diagram. ii) Calculate the value of the unknown resistor R.
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