The straight wire A B carries a current I . The ends of the wire subtend angles θ_1 and θ_2 at the point P as shown in figure. The magnetic field at the point P is

Correct answer: A. (μ_0 I)/(4 π d) ( θ_1- θ_2) The magnetic field at a point P due to a current carrying straight wire, such that the ends of the wires, makes angle α and β (see figure) is given by B=(μ_0 I)/(4 π d)( α- β) where, d is the distance between the point P and wire. In the given problem, α=θ_1 and β=θ_2 B= (μ_0 I)/(4 π d) ( θ_1- θ_2)

BITSAT 2024

Exam: BITSAT
Year: 2024
Subject: Physics
Chapter: Magnetic Effects of Current

BITSAT 2024 · Physics · Magnetic Effects of Current

The straight wire A B carries a current I . The ends of the wire...

The straight wire

A B

carries a current

I

. The ends of the wire subtend angles

\theta_1

and

\theta_2

at the point

P

as shown in figure. The magnetic field at the point

P

The straight wire A B carries a current I . The ends of the wire subtend angles θ_1 and θ_2 at the point P as shown in

Options

A $\frac{\mu_0 I}{4 \pi d} \left(\sin \theta_1-\sin \theta_2\right)$
B $\frac{\mu_0 I}{4 \pi d} \left(\sin \theta_1+\sin \theta_2\right)$
C $\frac{\mu_0 I}{4 \pi d} \left(\cos \theta_1-\cos \theta_2\right)$
D $\frac{\mu_0 I}{4 \pi d} \left(\cos \theta_1+\cos \theta_2\right)$

Correct answer

A. $\frac{\mu_0 I}{4 \pi d} \left(\sin \theta_1-\sin \theta_2\right)$

Step-by-step solution

The magnetic field at a point

P

due to a current carrying straight wire, such that the ends of the wires, makes angle

\alpha

and

\beta

(see figure) is given by

B=\frac{\mu_0 I}{4 \pi d}(\sin \alpha-\sin \beta)

where,

d

is the distance between the point

P

and wire.

In the given problem,

\alpha=\theta_1

and \beta=\theta_2\therefore \quad B=

\frac{\mu_0 I}{4 \pi d} \left(\sin \theta_1-\sin

\theta_2\right)

Practice Magnetic Effects of Current on Quantrex Academy →

More from Magnetic Effects of Current

A long straight wire of radius a carries a steady current 1. The current is uniformly… BITSAT 2024 The electrostatic force ( F_1) and magnetic force ( F_2) acting on a charge q moving with… BITSAT 2024 The magnetic moments associated with two closely wound circular coils A and B of radius… BITSAT 2023 A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long… BITSAT 2023 A charge particle is moving in a uniform magnetic field (2 i +3 j ) T . If it has an… BITSAT 2023 The magnetic moment of an electron (e) revolving in an orbit around nucleus with an… BITSAT 2023 A proton moving with a velocity 3 × 10^ 5 m / s enters a magnetic field of 0.3 tesla at… BITSAT 2021 A solenoid is 2 m long and 3 cm in diameter. It has 5 layers of winding of 1000 turns… BITSAT 2021 Full Magnetic Effects of Current list All BITSAT PYQs