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10.1 Write down the energy conversion that takes place during the operation of the DC generator - NSC Physical Sciences - Question 10 - 2017 - Paper 1

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10.1 Write down the energy conversion that takes place during the operation of the DC generator. 10.1.2 Sketch a graph to show how the induced emf of the generator ... show full transcript

Worked Solution & Example Answer:10.1 Write down the energy conversion that takes place during the operation of the DC generator - NSC Physical Sciences - Question 10 - 2017 - Paper 1

Step 1

10.1 Write down the energy conversion that takes place during the operation of the DC generator.

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Answer

During the operation of the DC generator, mechanical energy is converted into electrical energy. This conversion occurs when the coil rotates in the magnetic field, inducing an electromotive force (emf) due to electromagnetic induction.

Step 2

10.1.2 Sketch a graph to show how the induced emf of the generator varies with time. Clearly indicate positions A, B, C, and D on the graph.

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Answer

The graph should represent a waveform starting from zero, demonstrating the induced emf as a function of time. Positions A, B, C, and D should be clearly marked on the graph indicating the progression of emf as the coil rotates through the magnetic field. The waveform should reflect the alternating nature typical of induced emf, with peaks corresponding to the maximum angle of the coil with respect to the magnetic field.

Step 3

10.2.1 Write down the total resistance of the circuit.

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Answer

The total resistance of the circuit can be calculated by summing the resistance of the device and the resistance of the wires connecting the generator to the device. Therefore, the total resistance is:

Rtotal=Rdevice+Rwires=20extΩ+0.5extΩ=20.5extΩ.R_{total} = R_{device} + R_{wires} = 20 ext{ Ω} + 0.5 ext{ Ω} = 20.5 ext{ Ω}.

Step 4

10.2.2 Calculate the average power delivered to the device.

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Answer

The average power delivered to the device can be calculated using the formula:

P_{avg} = I_{rms}^2 imes R = rac{V_{rms}^2}{R}

where

\ \ P_{avg} = (1.22)^2 imes 20 = 29.77 ext{ W}. $$ Thus, the average power delivered to the device is approximately 29.77 W.

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