CIE AS & A Level Physics : 10.3 Potential dividers – Exam style question – Paper 1

Question

A cell has an electromotive force (e.m.f.) of 8.0V and negligible internal resistance. The cell forms part of a circuit, as shown.

The reading \(V_{1}\) is 4.0V and the reading \(V_{2}\) is also 4.0V.

What is the resistance of resistor R?

A    \(0.50\, \Omega\)          B    \(2.0\, \Omega\)              C    \(4.0\, \Omega\)             D    \(8.0\, \Omega\)

Answer/Explanation

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Question

 Three identical cells, each of electromotive force (e.m.f.) E and internal resistance r, are connected as shown.

                      

What is the potential difference between points X and Y?
      A 0                     B E                      C 2E                   D 3E

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Question

Potential differences across two resistors of resistances R1 and R2 are compared using a potentiometer wire (uniform resistance wire) in the electrical circuit shown.

               

One terminal of a galvanometer is connected to point X. The galvanometer reads zero when its other terminal is connected to a point that is a distance of 60 cm from one end of thepotentiometer wire.One terminal of a second galvanometer is connected to point Y. This galvanometer reads zerowhen its other terminal is connected to a point that is a distance of 80 cm from the same end of the potentiometer wire.
 What is the ratio  \(\frac{R_{2}}{R_{1}}\)

      A \(\frac{1}{3}\)            B \(\frac{3}{4}\)            C \(\frac{3}{1}\)            D \(\frac{4}{3}\)

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Question

A battery is connected to a potentiometer. The potentiometer consists of a uniform resistance
       wire and a sliding contact P.

                 

     The potential difference (p.d.) V between the sliding contact P and end Q of the wire is measured
     using a voltmeter. The sliding contact P is moved from end Q to end R of the wire. Sliding contact
     P is distance d from Q.
     Which graph shows the variation with distance d of the p.d. V?

         

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Question

A potentiometer circuit is used to determine the unknown electromotive force (e.m.f.) of a cell X.
In the circuit shown, E is a cell with an e.m.f. that is known accurately. QR is the potentiometer
wire, which has a movable contact S. Contact S is connected to a galvanometer and to cell X.

What is not a necessary requirement to determine the e.m.f. of X from the circuit?
A     The e.m.f. of cell X must be lower than the e.m.f. of cell E.
B    The internal resistance of cell X must be known.
C    The lengths QS and QR must be determined accurately.
D    The resistance of the wire QR must be proportional to its length.

Answer/Explanation

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