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A long straight wire in the horizontal plane carries a current of 75 A in north to south direction, magnitude and direction of field B at a point 3 m east of the wire is
- a)4 x 10-6 T, vertical up
- b)5 x 10-6 T, vertical down
- c)5 x 10-6 T, vertical up
- d)4 x 10-6 T, vertical down
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A long straight wire in the horizontal plane carries a current of 75 A...
From Ampere circuital law
The direction of field at the given point will be vertical up determined by the screw rule or right hand rule.
The direction of field at the given point will be vertical up determined by the screw rule or right hand rule.
Most Upvoted Answer
A long straight wire in the horizontal plane carries a current of 75 A...
Given data:
- Current in wire = 75 A
- Distance from wire = 3 m
- Direction of current = North to South
Calculation:
- The magnetic field due to a current-carrying wire is given by the formula:
\[ B = \frac{\mu_0 I}{2\pi r} \]
- Where:
- B = Magnetic field
- \( \mu_0 \) = Permeability of free space = \( 4\pi x 10^{-7} \) Tm/A
- I = Current
- r = Distance from the wire
- Plugging in the values:
\[ B = \frac{4\pi x 10^{-7} \times 75}{2\pi \times 3} \]
\[ B = \frac{3 x 10^{-5}}{6} \]
\[ B = 5 x 10^{-6} \, T \]
Direction of the magnetic field:
- Using the right-hand rule, we can determine the direction of the magnetic field around the wire.
- Since the wire carries a current from North to South and the point of interest is to the East of the wire, the magnetic field will be vertically upwards.
Therefore, the magnitude and direction of the magnetic field at a point 3 m East of the wire is 5 x 10^-6 T, vertical up, which corresponds to option 'C'.
- Current in wire = 75 A
- Distance from wire = 3 m
- Direction of current = North to South
Calculation:
- The magnetic field due to a current-carrying wire is given by the formula:
\[ B = \frac{\mu_0 I}{2\pi r} \]
- Where:
- B = Magnetic field
- \( \mu_0 \) = Permeability of free space = \( 4\pi x 10^{-7} \) Tm/A
- I = Current
- r = Distance from the wire
- Plugging in the values:
\[ B = \frac{4\pi x 10^{-7} \times 75}{2\pi \times 3} \]
\[ B = \frac{3 x 10^{-5}}{6} \]
\[ B = 5 x 10^{-6} \, T \]
Direction of the magnetic field:
- Using the right-hand rule, we can determine the direction of the magnetic field around the wire.
- Since the wire carries a current from North to South and the point of interest is to the East of the wire, the magnetic field will be vertically upwards.
Therefore, the magnitude and direction of the magnetic field at a point 3 m East of the wire is 5 x 10^-6 T, vertical up, which corresponds to option 'C'.
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A long straight wire in the horizontal plane carries a current of 75 A in north to south direction, magnitude and direction of field B at a point 3 m east of the wire isa)4 x 10-6 T, vertical upb)5 x 10-6 T, vertical downc)5 x 10-6 T, vertical upd)4 x 10-6 T, vertical downCorrect answer is option 'C'. Can you explain this answer?
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A long straight wire in the horizontal plane carries a current of 75 A in north to south direction, magnitude and direction of field B at a point 3 m east of the wire isa)4 x 10-6 T, vertical upb)5 x 10-6 T, vertical downc)5 x 10-6 T, vertical upd)4 x 10-6 T, vertical downCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A long straight wire in the horizontal plane carries a current of 75 A in north to south direction, magnitude and direction of field B at a point 3 m east of the wire isa)4 x 10-6 T, vertical upb)5 x 10-6 T, vertical downc)5 x 10-6 T, vertical upd)4 x 10-6 T, vertical downCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A long straight wire in the horizontal plane carries a current of 75 A in north to south direction, magnitude and direction of field B at a point 3 m east of the wire isa)4 x 10-6 T, vertical upb)5 x 10-6 T, vertical downc)5 x 10-6 T, vertical upd)4 x 10-6 T, vertical downCorrect answer is option 'C'. Can you explain this answer?.
A long straight wire in the horizontal plane carries a current of 75 A in north to south direction, magnitude and direction of field B at a point 3 m east of the wire isa)4 x 10-6 T, vertical upb)5 x 10-6 T, vertical downc)5 x 10-6 T, vertical upd)4 x 10-6 T, vertical downCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A long straight wire in the horizontal plane carries a current of 75 A in north to south direction, magnitude and direction of field B at a point 3 m east of the wire isa)4 x 10-6 T, vertical upb)5 x 10-6 T, vertical downc)5 x 10-6 T, vertical upd)4 x 10-6 T, vertical downCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A long straight wire in the horizontal plane carries a current of 75 A in north to south direction, magnitude and direction of field B at a point 3 m east of the wire isa)4 x 10-6 T, vertical upb)5 x 10-6 T, vertical downc)5 x 10-6 T, vertical upd)4 x 10-6 T, vertical downCorrect answer is option 'C'. Can you explain this answer?.
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