Current electricity

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Question 25
Medium

Figure 1 shows a circuit designed by a student to monitor changes in light intensity.

Figure 1

The supply has negligible internal resistance and the light-dependent resistor (LDR) has a resistance of 1500 Ω at a baseline light level. The student wants the output potential difference (VoutV_{\text{out}}Vout​) at this light level to be 10.0 V.

a.

The 0.50 kΩ0.50\text{ k}\Omega0.50 kΩ resistor is made of 120 turns of wire that is wound around a non-conducting cylinder of diameter 4.0 mm. Resistivity of the wire = 4.5 × 10-7 Ω m. Determine the area of cross-section of the wire that has been used for the resistor.

[3]
b.

The student selects a resistor rated at 0.60 W for the 0.50 kΩ0.50\text{ k}\Omega0.50 kΩ resistor. Determine whether this resistor is suitable.

[2]
c.

Determine the value of R R\,R that the student should select. Give your answer to an appropriate number of significant figures.

[4]
d.

State and explain the effect on the output pd (VoutV_{\text{out}}Vout​) of increasing the light intensity incident on the LDR.

[3]

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