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Magnetic Field due to a Current through a Circular Loop | 10th Std | Science | CBSE | Home Revise Video Lecture - Class 10

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FAQs on Magnetic Field due to a Current through a Circular Loop - 10th Std - Science - CBSE - Home Revise Video Lecture - Class 10

1. What is the formula to calculate the magnetic field due to a current through a circular loop?
Ans. The formula to calculate the magnetic field due to a current through a circular loop is given by B = μ₀I / (2R), where B represents the magnetic field, μ₀ is the permeability of free space, I is the current flowing through the loop, and R is the radius of the loop.
2. How does the magnetic field change with an increase in current through a circular loop?
Ans. The magnetic field strength increases with an increase in current through a circular loop. According to the formula B = μ₀I / (2R), if the current (I) increases, the magnetic field (B) will also increase, provided the radius (R) of the loop remains constant.
3. What happens to the magnetic field if the radius of the circular loop is doubled?
Ans. If the radius of the circular loop is doubled, the magnetic field strength at any point inside or outside the loop will be halved. This is because the formula B = μ₀I / (2R) shows that the magnetic field is inversely proportional to the radius of the loop.
4. How does the direction of the magnetic field due to a current through a circular loop depend on the direction of the current?
Ans. The direction of the magnetic field due to a current through a circular loop depends on the direction of the current. According to the right-hand thumb rule, if the current flows in a clockwise direction when viewed from above the loop, the magnetic field lines will be in the anticlockwise direction inside the loop and in the clockwise direction outside the loop. Similarly, if the current flows in an anticlockwise direction, the direction of the magnetic field will be opposite.
5. What is the significance of the permeability of free space in the formula for the magnetic field due to a current through a circular loop?
Ans. The permeability of free space (μ₀) is a constant that determines the strength of the magnetic field produced by a current through a circular loop. It signifies the ability of space to allow the magnetic field lines to pass through it. The value of μ₀ is approximately 4π × 10^(-7) Tm/A. By incorporating this constant in the formula B = μ₀I / (2R), we can accurately calculate the magnetic field strength based on the given values of current and radius.
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