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Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them is
- a)1:16
- b)16:1
- c)1:4
- d)1:1
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two wires of the same material having radii in the ratio 1:2, carry cu...
We have the relation between current I, n = no. of carrier per unit volume, drift velocity ve and CSA A as.
I = neAv
Let current flowing in the 2nd wire I2 = I thus current flowing through the 1st wire I1 = 4I
Let the radius of the first wire be r thus radius of the 2nd wire = 2r
In the first wire
A1 = πr2
In the 2nd wire
A2 = π(2r)2 = 4πr2
I1/ I2 = (A1v1 )/(A2v2 ) (ne being same for two wires as they are made of the same material)
4I/I = πr2 v1/4 πr2v2
=> v1/v2 = 16/1
=> v1:v2 = 16:1
Thus ratio of the drift velocities are 16:1
Most Upvoted Answer
Two wires of the same material having radii in the ratio 1:2, carry cu...
We have the relation between current I, n = no. of carrier per unit volume, drift velocity ve and CSA A as.
I = neAv
Let current flowing in the 2nd wire I2 = I thus current flowing through the 1st wire I1 = 4I
Let the radius of the first wire be r thus radius of the 2nd wire = 2r
In the first wire
A1 = πr2
In the 2nd wire
A2 = π(2r)2 = 4πr2
I1/ I2 = (A1v1 )/(A2v2 ) (ne being same for two wires as they are made of the same material)
4I/I = πr2 v1/4 πr2v2
=> v1/v2 = 16/1
=> v1:v2 = 16:1
Thus ratio of the drift velocities are 16:1
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Community Answer
Two wires of the same material having radii in the ratio 1:2, carry cu...
Correct option is (B).
We have the relation between current I, n = no. of carrier per unit volume, drift velocity ve and CSA A as.
We have the relation between current I, n = no. of carrier per unit volume, drift velocity ve and CSA A as.
I = neAv
Let current flowing in the 2nd wire I2 = I thus current flowing through the 1st wire I1 = 4I
Let the radius of the first wire be r thus radius of the 2nd wire = 2r
In the first wire
A1 = πr2
In the 2nd wire
A2 = π(2r)2 = 4πr2
I1/ I2 = (A1v1 )/(A2v2 ) (ne being same for two wires as they are made of the same material)
4I/I = πr2 v1/4 πr2v2
=> v1/v2 = 16/1
=> v-1:v2 = 16:1
Thus ratio of the drift velocities are 16:1
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Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them isa)1:16b)16:1c)1:4d)1:1Correct answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them isa)1:16b)16:1c)1:4d)1:1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them isa)1:16b)16:1c)1:4d)1:1Correct answer is option 'D'. Can you explain this answer?.
Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them isa)1:16b)16:1c)1:4d)1:1Correct answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them isa)1:16b)16:1c)1:4d)1:1Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them isa)1:16b)16:1c)1:4d)1:1Correct answer is option 'D'. Can you explain this answer?.
Solutions for Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them isa)1:16b)16:1c)1:4d)1:1Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them isa)1:16b)16:1c)1:4d)1:1Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them isa)1:16b)16:1c)1:4d)1:1Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Two wires of the same material having radii in the ratio 1:2, carry currents in the ratio 4 : 1. The ratio of drift velocities of electrons in them isa)1:16b)16:1c)1:4d)1:1Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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