Physics 5054 · O Level · Resistance

Resistance — practice question

A student is studying the resistance of a resistance wire. The circuit used is shown in Fig. 2.1. The crocodile clip on the flying lead is moved to different positions along the length of the resistance wire.
(a(i))[1]

Read the potential difference shown in Fig. 2.2 and enter the reading in Table 2.1 on page 6.

(a(ii))[3]

Calculate the current $I$ for each length $L$ listed in Table 2.1 using $I = \frac{V}{10}$. Enter your results in Table 2.1. Calculate $\frac{1}{I}$ for each length $L$ listed in Table 2.1 and enter these in Table 2.1. Put the units in the top row of the table.

(b(i))[2]

On the grid on page 7, draw a graph of $\frac{1}{I}$ on the y-axis against $L$ on the x-axis. Begin both axes at the origin $(0,0)$.

(b(ii))[1]

Draw the straight line of best fit. Extend the line so that it meets the y-axis.

(b(iii))[2]

Determine the gradient $G$ and y-intercept $c$ of this line. Show clearly on the graph the values you choose and show your working.

(c)[1]

Theory gives $R_w = \frac{1000\,G}{c}$, where $R_w$ is the resistance of the wire. Use your answers from part (b)(iii) to find $R_w$. Show your working.

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