Home
Class 12
PHYSICS
An infinitely long wire carrying a curre...

An infinitely long wire carrying a current i is bent at its mid point 0 to form an angle `45^@`. P is point a distance Rfrom the pointofbending. Find the magnetic field at P.

Text Solution

Verified by Experts

Since point P lies on the axis of straight part OA, magnetic field at point P is zero due to path OA of wire

From `Delta OPN, d= R cos 45^0`
Since both the ends O and C are on the same side of normal PN,
`phi_1 = -45^0 and phi_2 = + 90^0`
So `B = (mu_0 i)/(4pid) (sin phi_1 + sin phi_2)`
` = (mu_0i)/(4pi R cos 45^0)[sin (-45^0) + sin 90^0]`
` = (mu_0 i xx sqrt(2))/(4piR) (-sin45^@ + 1), = (sqrt(mu_0i))/(4piR)(1- (1)/(sqrt(2)))ox`
`= ((sqrt(2)-1)mu_0i)/(4piR) ox` (into the page)
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETICS

    AAKASH SERIES|Exercise EXERCISE (LONG ANSWER QUESTIONS)|5 Videos

  • ELECTROMAGNETICS

    AAKASH SERIES|Exercise EXERCISE (SHORT ANSWER QUESTIONS)|6 Videos

  • ELECTROMAGNETIC WAVES

    AAKASH SERIES|Exercise EXERCISE -II|22 Videos

  • ELECTROSTATICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|5 Videos

Similar Questions

Explore conceptually related problems

A long straight wire, carrying current I, is bent at its midpoint to form an angle of 45^@ . Find the induction of magnetic field at point P, distant R from the point of bending (as shown in)

An infinitely long wire carrying current I is along Y-axis such taht its one end is at point A(0,b) while the wire extends upto +oo . The magnitude of magnetic field strength at point (a,0) is

An infinitely long wire carrying current I is along Y-axis such taht its one end is at point A(0,b) while the wire extends upto +oo . The magnitude of magnetic field strength at point (a,0) is

An infinitely long wire carrying current I is along Y-axis such taht its one end is at point A(0,b) while the wire extends upto +oo . The magnitude of magnetic field strength at point (a,0) is

A piece of wire carrying a current of 6.00 A is bent in the form of a circular arc of radius 10.0 cm, and it subtends an angle of 120^@ at the centre. Find the magnetic field B due to this piece of wire at the centre.

(i) A very long wire carrying a current I is bent at right angles .Find magnetic field at a point lying on a perpendicular to the wire , drawn through the point of bending at a distance d from it (ii) Three long wires carrying same currect are placed as shown Find magnetic field at O.

Consider a straight piece of length x of a wire carrying a current i. Let P be a point on the perpendicular bisector of the piece, situated at a distance d from its middle point. Show that for d>>x, the magnetic field at P varies as ( 1/d^2) whereas for d << x, it varies as 1/d.

Assertion Two infinitely long wires A and B carry unequal currents both in inward direction. Then, there is only point (excluding the ponts at infinity), where net magnetic field is zero. Reason That point lies between points A and B .

A long wire carrying a current i is bent to form a plane angle alpha . Find the magnetic field B at a point on the bisector of this angle situated at a distance x from the vertex.

A long wire carrying a current i=2A is bent at right angles . The magnetic field lying on a perpendicular normal to the plane of the wire draw through the point of bending at distance 1 m form it is ………….Tesla.