A system of two circular co-axial coils carrying equal currents I along same direction having equalradius R and separated by a distance R (as shown in figure below). The magnetic field at the midpoint P is given by [JEST 2014]
A system of two circular co-axial coils carrying equal currents I along same direction having equalradius R and separated by a distance R (as shown in
Problem: A system of two circular co-axial coils carrying equal currents I along same direction having equalradius R and separated by a distance R (as shown in figure below). The magnetic field at the midpoint P is given by [JEST 2014]
(A)`(mu_0I)/(2sqrt2R)` (B)`(4mu_0I)/(5sqrt(5R))` ✅(C)`(8mu_0I)/(5sqrt5R)` (D)0
Answer:
The distance of the point P from the each loop is `d=R/2`.
The magnetic field at the point P is the sum of the magnetic filed due to each loop is given by,
`B=2xxB_"loop"`
or, `B=2xx(mu_0I)/2R^2/(R^2+d^2)^(3/2)`
or, `B=2xx(mu_0I)/2R^2/(R^2+R^2/4)^(3/2)`
or, `B=(mu_0I)/(R) 8/(5sqrt5)`
Option (C) is correct.
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