Physics 5054 · O Level · Resistance

Resistance — practice question

A student is studying how the resistance of a light-emitting diode (LED) changes when different currents pass through it. The student assembles the circuit shown in Fig. 2.1.
(a(i))[1]

On Fig. 2.1, add the symbol for a voltmeter so that it measures the potential difference $V_{XY}$ across the $270\,\Omega$ resistor.

(a(ii))[1]

Enter $V_{XY}$ in Table 2.1.

(b(i))[1]

Calculate the value of $(V_{XY}+V_{YZ})$ for the $270\,\Omega$ resistor, and write the result in Table 2.1.

(b(ii))[1]

The current $I$ in the circuit can be worked out using the equation $I = \frac{V_{XY}}{R}$ where $R = 270\,\Omega$. Calculate $I$. Enter your answer in Table 2.1.

(b(iii))[1]

The resistance $R_{LED}$ of the LED can be found using the equation $R_{LED} = \frac{V_{YZ}}{I}$. Calculate $R_{LED}$. Enter your answer in Table 2.1.

(c)[1]

Calculate $V_{XY}$ and enter your answer in Table 2.1 on page 6.

(d(i))[1]

Describe how the change in current affects $(V_{XY}+V_{YZ})$.

(d(ii))[1]

Describe how the change in current affects $R_{LED}$.

(e)[1]

Suggest the mistake the student made while assembling the circuit.

(f)[1]

Name and draw the symbol of a single device that can be used to vary the current in the circuit without needing to connect different resistors across terminals X and Y.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Voltmeter symbol correctly drawn in parallel

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