Two similar coils of radius R and number of turns N are lying concentrically with their planes at right angles to each other. The currents flowing in them are I I √3 respectively. Find the magnetic field induction at the center of the coils.

Question

Two similar coils of radius R and number of turns N are lying concentrically with their planes at right angles to each other. The currents flowing in them are I I √3 respectively. Find the magnetic field induction at the center of the coils. (A) (2 μ0 NI / R ) (B) (3 μ0 NIR /2) (C) (μ0 text NIR /2) (D) (μ0 NI / R )

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/535e18a637d0902067ac9442cdcbee16-.png" /> B =√ B 12+ B 22 B =(μ o NI /2 R ) √1+3=(μ o NI × 2/2 R ) B =(μ0 NI / R )

Q. Two similar coils of radius $R$ and number of turns $N$ are lying concentrically with their planes at right angles to each other. The currents flowing in them are $I & I 3$ respectively. Find the magnetic field induction at the center of the coils.

$\frac{2 μ _{0} N I}{R}$

$\frac{3 μ _{0} N I R}{2}$

$\frac{μ _{0} NIR}{2}$

$\frac{μ _{0} N I}{R}$

$B = B_{1}^{2} + B_{2}^{2}$
$B = \frac{μ _{o} N I}{2 R} 1 + 3 = \frac{μ _{o} N I \times 2}{2 R}$
$B = \frac{μ _{0} N I}{R}$

Q. Two similar coils of radius R and number of turns N are lying concentrically with their planes at right angles to each other. The currents flowing in them are I&I3​ respectively. Find the magnetic field induction at the center of the coils.

R2μ0​NI​

23μ0​NIR​

2μ0​ NIR ​

Rμ0​NI​