Physics 5054 · O Level · Resistance

Resistance — practice question

A student investigates how the resistance R of a lamp changes for different values of the potential difference V across it. The circuit in Fig. 1.1 is connected by the student. The student: • closes the switch • places the crocodile clip at a length l = 10.0\,\text{cm} on the resistance wire • notes the potential difference V across the lamp • notes the current I in the lamp • opens the switch. Fig. 1.2 shows the voltmeter and ammeter readings. The student repeats the method for other lengths l of the resistance wire. The results are listed in Table 1.1.
(a)[2]

Enter the values of $V$ and $I$ into Table 1.1.

(b(i))[1]

Complete the top row of Table 1.1 by calculating the resistance $R$ of the lamp when $l = 10.0\,\text{cm}$. Use the equation shown. $R = \frac{V}{I}$

(b(ii))[1]

The student leaves out the current value for $l = 100.0\,\text{cm}$. Calculate the current and enter it in Table 1.1.

(c)[1]

The student looks at Table 1.1 and says that the resistance $R$ of the lamp is directly proportional to the length $l$. State whether you agree with the student’s claim. Support your answer with values taken from Table 1.1.

(d(i))[4]

On the grid in Fig. 1.3, draw a graph of $R$ on the $y$-axis against $V$ on the $x$-axis. Begin both axes at the origin $(0,0)$. Add a smooth curve of best fit.

(d(ii))[2]

Using your graph, describe how the resistance $R$ of the lamp varies as the potential difference $V$ across it changes.

(e)[2]

Another student changes the circuit shown in Fig. 1.1. She uses a variable resistor to vary the current and potential difference instead of the resistance wire and the crocodile clip. Complete the circuit diagram in Fig. 1.4 to show this arrangement.

Worked solution & mark scheme

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