At a plate potential of 150 V the palte current in a diode is 8 mA under space charge limited conditions if the plate potential is changed to 300 V the plate current is

Options

A. 22.63 mA
B. 27.89 mA
C. 36.92 mA
D. 16.17 mA

Explanation

To solve the problem, we will use Child's Law, which states that the plate current (I) in a diode under space charge limited conditions is proportional to the voltage (V) raised to the power of \( \frac{3}{2} \).

### Step-by-Step Solution:

1. **Identify the initial conditions**:
- Initial plate potential, \( V_1 = 150 \, V \)
- Initial plate current, \( I_1 = 8 \, mA \)

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