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A cylindrical conductor of radius R carries a current I. the value of magnetic field a point which is R/4 distance inside from the surface is 10T.find the value of magnetic field at a point which is 4R distance outside from surface a.4/3T B.8/3T C.40/3T d.80/3T?
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A cylindrical conductor of radius R carries a current I. the value of ...
Solution:
Given:
Radius of the cylindrical conductor, R
Current passing through the conductor, I
Magnetic field at a point R/4 distance inside from the surface, B1 = 10 T
To find:
The value of the magnetic field at a point 4R distance outside from the surface
Formula:
The magnetic field inside a cylindrical conductor is given by the formula:
B = (μ0 * I) / (2π * R)
Where:
B is the magnetic field
μ0 is the permeability of free space (4π × 10^-7 T m/A)
I is the current passing through the conductor
R is the radius of the conductor
So, to find the magnetic field at a point 4R distance outside from the surface, we can use the same formula and substitute the new value of R.
Step 1: Find the magnetic field at a point R/4 distance inside from the surface
Given: B1 = 10 T, R/4
Using the formula, we have:
10 = (μ0 * I) / (2π * R/4)
Simplifying the equation, we get:
40 = (μ0 * I) / (2π * R)
Step 2: Find the magnetic field at a point 4R distance outside from the surface
Given: R, B2 = ?
Using the formula, we have:
B2 = (μ0 * I) / (2π * 4R)
Simplifying the equation, we get:
B2 = (μ0 * I) / (8π * R)
Step 3: Comparing the two equations
From Step 1, we have:
40 = (μ0 * I) / (2π * R)
From Step 2, we have:
B2 = (μ0 * I) / (8π * R)
Comparing the two equations, we can see that the numerator is the same, only the denominator is different. So, to find the value of B2, we can rearrange the equation from Step 1 and substitute it into the equation from Step 2.
Simplifying, we get:
B2 = 40 / 8
B2 = 5 T
Therefore, the value of the magnetic field at a point 4R distance outside from the surface is 5 T.
Answer: Option A. 4/3 T
Given:
Radius of the cylindrical conductor, R
Current passing through the conductor, I
Magnetic field at a point R/4 distance inside from the surface, B1 = 10 T
To find:
The value of the magnetic field at a point 4R distance outside from the surface
Formula:
The magnetic field inside a cylindrical conductor is given by the formula:
B = (μ0 * I) / (2π * R)
Where:
B is the magnetic field
μ0 is the permeability of free space (4π × 10^-7 T m/A)
I is the current passing through the conductor
R is the radius of the conductor
So, to find the magnetic field at a point 4R distance outside from the surface, we can use the same formula and substitute the new value of R.
Step 1: Find the magnetic field at a point R/4 distance inside from the surface
Given: B1 = 10 T, R/4
Using the formula, we have:
10 = (μ0 * I) / (2π * R/4)
Simplifying the equation, we get:
40 = (μ0 * I) / (2π * R)
Step 2: Find the magnetic field at a point 4R distance outside from the surface
Given: R, B2 = ?
Using the formula, we have:
B2 = (μ0 * I) / (2π * 4R)
Simplifying the equation, we get:
B2 = (μ0 * I) / (8π * R)
Step 3: Comparing the two equations
From Step 1, we have:
40 = (μ0 * I) / (2π * R)
From Step 2, we have:
B2 = (μ0 * I) / (8π * R)
Comparing the two equations, we can see that the numerator is the same, only the denominator is different. So, to find the value of B2, we can rearrange the equation from Step 1 and substitute it into the equation from Step 2.
Simplifying, we get:
B2 = 40 / 8
B2 = 5 T
Therefore, the value of the magnetic field at a point 4R distance outside from the surface is 5 T.
Answer: Option A. 4/3 T
Community Answer
A cylindrical conductor of radius R carries a current I. the value of ...
Is it b . 8/3 T
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A cylindrical conductor of radius R carries a current I. the value of magnetic field a point which is R/4 distance inside from the surface is 10T.find the value of magnetic field at a point which is 4R distance outside from surface a.4/3T B.8/3T C.40/3T d.80/3T?
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A cylindrical conductor of radius R carries a current I. the value of magnetic field a point which is R/4 distance inside from the surface is 10T.find the value of magnetic field at a point which is 4R distance outside from surface a.4/3T B.8/3T C.40/3T d.80/3T? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cylindrical conductor of radius R carries a current I. the value of magnetic field a point which is R/4 distance inside from the surface is 10T.find the value of magnetic field at a point which is 4R distance outside from surface a.4/3T B.8/3T C.40/3T d.80/3T? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical conductor of radius R carries a current I. the value of magnetic field a point which is R/4 distance inside from the surface is 10T.find the value of magnetic field at a point which is 4R distance outside from surface a.4/3T B.8/3T C.40/3T d.80/3T?.
A cylindrical conductor of radius R carries a current I. the value of magnetic field a point which is R/4 distance inside from the surface is 10T.find the value of magnetic field at a point which is 4R distance outside from surface a.4/3T B.8/3T C.40/3T d.80/3T? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cylindrical conductor of radius R carries a current I. the value of magnetic field a point which is R/4 distance inside from the surface is 10T.find the value of magnetic field at a point which is 4R distance outside from surface a.4/3T B.8/3T C.40/3T d.80/3T? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical conductor of radius R carries a current I. the value of magnetic field a point which is R/4 distance inside from the surface is 10T.find the value of magnetic field at a point which is 4R distance outside from surface a.4/3T B.8/3T C.40/3T d.80/3T?.
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