Question

In a transistor, if the collector current is 98% of emitter current, then the ratio of the base and collector currents is

• A. \(1 : 98\)
• B. \(1 : 1\)
• C. \(1 : 49\)
• D. \(1 : 99\)

Hint:

Always use \( I_E = I_C + I_B \) and percentage info to find current relations in transistor problems.

Answer 1

The Correct Option is C

Step 1: Understanding the current relation in a transistor
In a transistor: \[ I_E = I_C + I_B \] Given: \(I_C = 0.98 I_E\) Step 2: Find base current
\[ I_B = I_E - I_C = I_E - 0.98 I_E = 0.02 I_E \] Step 3: Find ratio of base to collector current
\[ \frac{I_B}{I_C} = \frac{0.02 I_E}{0.98 I_E} = \frac{2}{98} = \frac{1}{49} \] So, ratio is \(1 : 49\)