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A crystal diode that has an internal resistance of 20 Ω is used for rectification. If the supply voltage is 50 sin ωt and the load resistance is 800 Ω, then find the rms value of the load current.
1. 61 mA
2. 30.5 mA
3. 19.4 mA
4. 38.8 mA

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Correct Answer - Option 2 : 30.5 mA

Concept:

In a half-wave rectifier,

The average value of load current, \({I_{avg}} = \frac{{{V_m}}}{{\pi \left( {R + {R_L}} \right)}}\)

The RMS value of load current, \({I_{rms}} = \frac{{{V_m}}}{{2\left( {R + {R_L}} \right)}}\)

Vm is the peak value of supply voltage

R is the internal resistance

RL is the load resistance

Calculation:

Given that, supply voltage = 50 sin ωt

Peal voltage (Vm) = 50 V

Internal resistance (R) = 20 Ω

Load resistance (RL) = 800 Ω

The RMS value of load current, \({I_{rms}} = \frac{{50}}{{2\left( {20 + 800} \right)}} = 30.5\;mA\)

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