Two 1kΩ 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 kΩ 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 kΩm−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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Two 1kΩ 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 kΩ 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 kΩm−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.
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i) Draw the circuit diagram ii) Calculate the value of the unknown resistor R.
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