MHT CET 202624 AprilMorning Shift
- Exam
- MHT CET
- Year
- 2026
- Date
- 24 April
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Magnetic Effects of Current
MHT CET 2026 · 24 April · Morning Shift · Physics · Magnetic Effects of Current
If the current 'i' is passing through the wire, it has a shape as...
If the current 'i' is passing through the wire, it has a shape as shown in the figure. The radius of the curved part is R and the linear part is assumed to be very long. The magnetic induction of the field at the point O, is
(\mu_0=
(\mu_0=
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
The wire can be divided into three parts: a lower semi-infinite straight wire, a semicircular arc, and an upper semi-infinite straight wire.
The magnetic field at point O due to the lower semi-infinite straight wire is given by . Applying the right-hand rule, the current is towards the left and point O is above the wire, so the magnetic field is directed into the page.
The magnetic field at point O due to the semicircular arc is given by . The current is in the clockwise direction, so the magnetic field is directed into the page.
The magnetic field at point O due to the upper semi-infinite straight wire is given by . The current is towards the right and point O is below the wire, so the magnetic field is directed into the page.
Since all three magnetic field components are in the same direction, the total magnetic field at O is their sum:
The magnetic field at point O due to the lower semi-infinite straight wire is given by . Applying the right-hand rule, the current is towards the left and point O is above the wire, so the magnetic field is directed into the page.
The magnetic field at point O due to the semicircular arc is given by . The current is in the clockwise direction, so the magnetic field is directed into the page.
The magnetic field at point O due to the upper semi-infinite straight wire is given by . The current is towards the right and point O is below the wire, so the magnetic field is directed into the page.
Since all three magnetic field components are in the same direction, the total magnetic field at O is their sum: