Question:
Two coplanar concentric circular coils have radii and Both have the same number of turns ''n''. The smaller coil carries a clock wise current ''i'', while the larger coil carries an anticlockwise current ''2i''. The magnetic field induction at the centre is
Two coplanar concentric circular coils have radii and Both have the same number of turns ''n''. The smaller coil carries a clock wise current ''i'', while the larger coil carries an anticlockwise current ''2i''. The magnetic field induction at the centre is
Updated On: Jul 7, 2022
- $3\mu_0$ in / 4r
- zero
- $\mu_0$ in / 4r
- $\mu_0$ in / 2r
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The Correct Option is B
Solution and Explanation
$B=\frac{\mu_0n \,i}{2\pi};B_R=B_1-B_2$
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Concepts Used:
Biot Savart Law
Biot-Savart’s law is an equation that gives the magnetic field produced due to a current-carrying segment. This segment is taken as a vector quantity known as the current element. In other words, Biot-Savart Law states that if a current carrying conductor of length dl produces a magnetic field dB, the force on another similar current-carrying conductor depends upon the size, orientation and length of the first current carrying element.
The equation of Biot-Savart law is given by,
\(dB = \frac{\mu_0}{4\pi} \frac{Idl sin \theta}{r^2}\)
Application of Biot Savart law
- Biot Savart law is used to evaluate magnetic response at the molecular or atomic level.
- It is used to assess the velocity in aerodynamic theory induced by the vortex line.
Importance of Biot-Savart Law
- Biot-Savart Law is exactly similar to Coulomb's law in electrostatics.
- Biot-Savart Law is relevant for very small conductors to carry current,
- For symmetrical current distribution, Biot-Savart Law is applicable.
For detailed derivation on Biot Savart Law, read more.