WBJEE · Physics · Semiconductors

In the circuit shown, the value of \(\beta\) of the transistor is 48 . If the base current supplied is \(200 \mu \mathrm{A}\), what is the voltage at the terminal \(\mathrm{Y}\)?

A \(0.2 \mathrm{~V}\)
B \(0.5 \mathrm{~V}\)
C \(4 \mathrm{~V}\)
D \(4.8 \mathrm{~V}\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(0.2 \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

Hint: \(\beta=48\) \(l_{B}=200 \mu \mathrm{A}\) \(I_{C}=\beta I_{B}=48 \times 200 \times 10^{-6}\) \(V_{\mathrm{CC}}=I_{C} R_{C}+V_{C E} \therefore V_{C E}=5-\left(96 \times 10^{-4}\right) \times 500=5-4.8=0.2\) volt

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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