Three infinite current carrying conductors are placed as shown in figure. Two wires carry same current while current in third wire is unknown. The three wires are electrically insulated from each other and all of them are in the plane of paper. Which of the following is correct about point P which is also in the same plane?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

Magnetic field intensity at P is zero for all values of x, whatever is the current in the third wire.

If the current in the third wire is2Isinα (left to right), then magnetic field will be zero at P for all values of x.

If the current in the third wire is 2Isinα (right to left), then magnetic field will be zero at P for all values of x.

None of these

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Magnetic field at 'P' due to wires (1) and (2) isB1=μ0I2π(xsinα)+μ0I2π(xsinα)=2μ0I2π(xsinα)(outside the paper) Now, if a current of 2Isinα is flowing in the third wire, then the magnetic field due to the same will be B2=μ02πx2Isinα which will cancel B1 if it is in the paper which is possible if the current 2Isinα in the third wire is from right to left

Watch 3-min video & get full concept clarity