This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
V_p \sin \omega t \quad (4.1)$$
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Input AC voltage If the voltage across the secondary coil of the transformer is: where is peak voltage and is angular displacement of the rotating coil in the alternator or input signal generator.
Output current Output current is given by: where and are resistances of diode and load respectively.
Output current taken over half a cycle Output current taken over half a cycle as illustrated in Figure 4.5a is given as:
Average current taken over a full cycle Average current taken over a full cycle and illustrated in Fig. 4.5b is given as: (The formula for this section is cut off in the image and cannot be fully transcribed.)
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Input AC voltage If the voltage across the secondary coil of the transformer is: V = V_p t (4.1) where V_p is peak voltage and t is angular displacement of the rotating coil in the alternator or input signal generator.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.