Solveeit Logo
Login

Question

Question: A uniform magnetic field exists in region which form an equilateral triangle of side a. The magnetic...

A uniform magnetic field exists in region which form an equilateral triangle of side a. The magnetic field is perpendicular to the plane of the triangle. A charge q enters into this magnetic field perpendicularly with speed v along perpendicular bisector of one side and comes out along perpendicular bisector of other side. The magnetic induction in the triangle is –

A

mvqa\frac{mv}{qa}

B

2mvqa\frac{2mv}{qa}

C

mv2qa\frac{mv}{2qa}

D

mv4qa\frac{mv}{4qa}

Answer

2mvqa\frac{2mv}{qa}

Explanation

Solution

The charged particle moves in a circle of radius a2\frac{a}{2}

\ qvB = mv2a/2\frac{mv^{2}}{a/2} or B = 2mvqa\frac{2mv}{qa}