The mutual inductance between a primary and secondary circuits is 0.5 H. The resistance of the
primary and the secondary circuits are 20Ω and 5Ω respectively. To generate a current of 0.4 A
in the secondary, current in the primary must be changed at the rate of :
Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area A = 10 cm² and length = 20 cm. If one of the solenoids has 300 turns and the other 400 turns, their mutual inductance is
\[\left( \mu=4\pi\times 10^{-7} T m A^{-1}\right)\] :
What is the mutual inductance of a two-loop system as shown with centre separation l ?
Two circular coils can be arranged in any of the three situations shown in the figure. Their
mutual inductance will be :
Based on the visual arrangement of the coils, the mutual inductance is maximum in situation (a).
This is because the coils are placed co-axially (one above the other), allowing the maximum amount of magnetic flux from the primary coil to pass through the secondary coil, resulting in the highest coupling coefficient.
Two coils X and Y are placed in a circuit such that a current changes by 2 A in coil X and the magnetic flux change of 0.4 Wb occurs in coil Y. The value of mutual inductance of coils is :
The mutual inductance ($M$) is calculated by the ratio of flux change in coil Y to the current change in coil X:
$M = 0.2 \text{ H}$
A small square loop of wire of side l is placed inside a large square loop of wire of side L ( L > l ). The loops are coplanar and their centres coincide. The mutual inductance of the system is proportional to :
The mutual inductance M is found by calculating the magnetic flux through the small loop due to the current I in the large loop. Using the formula for the magnetic field at the center of a square loop, B \frac{I}{L}.
Since the small loop is much smaller than the large one \(L \gg l)\, the field is approximately uniform across its area \A = l^2\. The flux \Phi = B \cdot A$ is therefore proportional to \\frac{I}{L} \cdot l^2\.
Because $M = \frac{\Phi}{I}$, the mutual inductance scales as: