Question 1-5 of 13: Biot - Savart Law (Magnetic Effects of Current and Magnetism) | MHT-CET (Maharashtra Common Entrance Test) Physics | Includes PYQs | Get Solutions with Detailed Explanations

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Question 1

Magnetic Effects of Current and MagnetismBiot - Savart Law

MCQ

Read the question, then carefully choose the correct answer(s).

Consider the loop PQRSP, carrying clockwise current i, shown in the figure. The magnitude of magnetic field at the center O of the curved portion is

Choices

Choice (4)		Response
a.	$\frac{μ_{0} i}{2 π r} (π + ψ - \tan ψ)$
b.	0
c.	$\frac{μ_{0} i}{2 π r} (π - ψ + \tan ψ)$
d.	$\frac{μ_{0} i}{2 π r}$

Question 2

Magnetic Effects of Current and MagnetismBiot - Savart Law

MCQ

Read the question, then carefully choose the correct answer(s).

A current i is flowing in a conductor PQRST shaped as shown in the figure. The radius of curved part QRS is r and length of straight portions PQ and ST is very large. The magnetic field at the center O of the curved part is –

Choices

Choice (4)		Response
a.	$\frac{μ_{0} i}{4 π r} [\frac{3 π}{2} - 1] (- \hat{k})$
b.	$\frac{μ_{0} i}{4 π r} [\frac{3 π}{2} + 1] (- \hat{k})$
c.	$\frac{μ_{0} i}{4 π r} [\frac{3 π}{2} + 1] \hat{k}$
d.	$\frac{μ_{0} i}{4 π r} [\frac{3 π}{2} - 1] \hat{k}$

Question 3

Magnetic Effects of Current and MagnetismBiot - Savart Law

MCQ

Read the question, then carefully choose the correct answer(s).

A circular arc of wire of radius of curvature r subtends an angle of $\frac{π}{4}$ radian at its center. If current i is flowing in it then the magnetic induction at its center is –

Choices

Choice (4)		Response
a.	$\frac{μ_{0} i}{4 r}$
b.	$\frac{μ_{0} i}{16 r}$
c.	$\frac{μ_{0} i}{8 r}$
d.	0

Question 4

Magnetic Effects of Current and MagnetismBiot - Savart Law

MCQ

Read the question, then carefully choose the correct answer(s).

The magnitude of magnetic field at a point having perpendicular distance 50 mm from a long straight conducting wire carrying a current of 3A is, ( $μ_{0} = 4 π \times 10^{- 7}$ )

Choices

Choice (4)		Response
a.	0.12 G
b.	0.012 G
c.	12 G
d.	1.2 G

Question 5

Magnetic Effects of Current and MagnetismBiot - Savart Law

MCQ

Read the question, then carefully choose the correct answer(s).

A circular coil of 0.2 m diameter has 1000 turns and carries a current of 0.1 ampere. The intensity of magnetic field at the center of the coil is-

Choices

Choice (4)		Response
a.	$6.28 \times {(10)}^{- 5} \frac{N}{A ∙ m}$
b.	$62.8 \times {(10)}^{- 5} \frac{N}{A ∙ m}$
c.	$62.8 \times {(10)}^{- 4} \frac{N}{A ∙ m}$
d.	$6.28 \times {(10)}^{- 4} \frac{N}{A ∙ m}$