This law states that the magnetic field (dB) at point P due to small current element Idl of the current-carrying conductor is directly proportional to the Idl (current) element of the conductor
dB ∝ Idl
The magnitude of the magnetic field is given by 丨dB丨= (μ0/4π)(IdIsinθ/r2)
Q1: Which is the equation of the magnetic field according to Biot-Savart’s law?
- IdIsinθ/r2
- (μ0/4π)IdIsinθ/r
- (μ0/4π)IdIsinθ/r2
- (μ0/4π)IdIsinθ
Answers: (c) (μ0/4π)IdIsinθ/r2
Q2: The magnetic field due to a copper rod carrying direct current is
- The magnetic field is inside the rod
- The magnetic field is outside the rod
- Both inside and outside the rod
- Neither inside nor outside
Answers: (c) Both inside and outside the rod
Q3: Consider a current i flowing through the inner conductor of a coaxial cable and the current returns along the outer conductor of the cable. The value of magnetic induction at a distance r from the axis is
- (μ0/4π)(2i/r)
- ∞
- Zero
- (μ0/4π)(2πi/r)
Answers: (c) Zero
Q4: To which law of electricity is Biot Savart law of magnetism analogous to
- Coulomb’s law
- Ohm’s law
- Kirchoff’s law
- Faraday’s law
Answers: (a) Coulomb’s law
Q5: Which of the following properties cannot be calculated from Biot Savart law?
- Magnetic field intensity
- Flux density
- Permeability
- Electric field intensity
Answers: (d) Electric field intensity
Q6: Consider a circular conductor with 2m radius and 8 A current flowing through it. What is the value of magnetic field intensity at the centre of the circular conductor?
- 4π x 10-7 T
- 8π x 10-7 T
- 8 x 10-7 T
- 3π x 107 T
Answers: (b) 8π x 10-7 T
Q7: If the strength of the magnetic field at a point r near a long straight current-carrying wire is B. The value of the field at a distance r/2 will be
- B/2
- B/4
- 2B
- 4B
Answers: (c) 2B
Q8: If the current I flows through the coil of radius r then the field at the centre of the circular coil is
- Inversely proportional to I2
- Directly proportional to I
- Directly proportional to r
- Inversely proportional to r2
Answers: (b) Directly proportional to I
Q9: Two parallel conductors separated by a distance 2r carries current i in the same direction. The intensity of the magnetic field midway between them is
- Zero
- μ0 i/r
- 4μ0 i/r
- μ0 i/4r
Answer: (a) Zero
Q10: A straight wire of length 2 metres is taken and a current of 1 Ampere is passed through them. The magnetic field at a point along the axis of the wire at a distance of 3 metres from either end of the wire is given by
- μ0 /4π
- Zero
- μ0 /π
- 2μ0 /π
Answer: (a) Zero
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