
The relationship between current gain in Common Base [CB] mode and current gain in Common Emitter [CE] mode is
A.
B.
C.
D.
Answer
480.6k+ views
1 likes
Hint:Use the formulae for the current gain in Common Base mode and current gain in Common Emitter mode. Also use the relation between the emitter current, collector current and base current. Substitute the values of the current gains in Common Base mode and Common Emitter mode in this relation and solve it.
Formulae used:
The current gain in Common Base [CB] mode is given by
…… (1)
Here, is the current from the collector and is the current form emitter.
The current gain in Common Emitter [CE] mode is given by
…… (2)
Here, is the current from the collector and is the current form base.
Complete step by step answer:
We have asked to determine the relationship between the current gain in Common Base [CB] mode and the current gain in Common Emitter [CE] mode.From equation (1). We can write
From equation (2). We can write
We know that in a transistor the sum of the current from the collector and the current from base is equal to the current from the emitter.
Multiply both sides of the above equation by the collector current .
Substitute for and for in the above equation.
Therefore, the relationship between the current gain in Common Base [CB] mode and the current gain in Common Emitter [CE] mode is .
Hence, the correct option is B.
Note: The students should be careful while using the formulae for the current gain in Common Base mode and Common Emitter mode. If the ratio of the currents in these formulae is taken incorrectly then we will also end with the incorrect relation between the current gain in Common Base and Common Emitter mode.
Formulae used:
The current gain
Here,
The current gain
Here,
Complete step by step answer:
We have asked to determine the relationship between the current gain
From equation (2). We can write
We know that in a transistor the sum of the current from the collector and the current from base is equal to the current from the emitter.
Multiply both sides of the above equation by the collector current
Substitute
Therefore, the relationship between the current gain
Hence, the correct option is B.
Note: The students should be careful while using the formulae for the current gain in Common Base mode and Common Emitter mode. If the ratio of the currents in these formulae is taken incorrectly then we will also end with the incorrect relation between the current gain in Common Base and Common Emitter mode.
Latest Vedantu courses for you
Grade 10 | CBSE | SCHOOL | English
Vedantu 10 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
Why is insulin not administered orally to a diabetic class 12 biology CBSE

The total number of isomers considering both the structural class 12 chemistry CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

How do you convert from joules to electron volts class 12 physics CBSE

Define Vant Hoff factor How is it related to the degree class 12 chemistry CBSE

The first microscope was invented by A Leeuwenhoek class 12 biology CBSE
