There are two long co-axial solenoids of same length . the inner and outer coils have radii and and number of turns per unit length and respectively. The rate of mutual inductance to the self-inductance of the inner-coil is :
1
2
3
4
Official Solution
Correct Option: (4)
02
PYQ 2022
medium
physicsID: jee-main
A small square loop of wire of side l is placed inside a large square loop of wire L(L>>l). As shown in figure, both loops are coplanar and their centers coincide at point O. The mutual inductance of the system is:
1
2
3
4
Official Solution
Correct Option: (3)
B1=4B= B1= M= = =
03
PYQ 2023
medium
physicsID: jee-main
Find the mutual inductance in the arrangement, when a small circular loop of radius R is placed inside a large square loop of side ( ). The loops are coplanar and their centers coincide:
1
2
3
4
Official Solution
Correct Option: (3)
04
PYQ 2026
hard
physicsID: jee-main
An inductor of inductance having resistance of is connected to battery of E.M.F. through a switch as shown in the figure below. After switch is closed, the ratio of instantaneous voltages across the inductor when the current passing through it is and is ________.
1
4/3
2
3/4
3
5/3
4
3/5
Official Solution
Correct Option: (1)
This problem involves the behavior of a real inductor in a DC circuit. A real inductor can be modeled as an ideal inductor with inductance in series with its internal resistance . When a switch is closed in an circuit connected to a battery of EMF , Kirchhoff's Voltage Law (KVL) governs the instantaneous current and voltages.
According to KVL, the sum of the potential drops across the resistance and the inductor must equal the battery's EMF: $ V_L V_L = L \frac{di}{dt} E = 1.0 \text{ V} R = 100 \text{ } \Omega i_1 = 2 \text{ mA} = 2 \times 10^{-3} \text{ A} i_2 = 4 \text{ mA} = 4 \times 10^{-3} \text{ A} 4/3$.
05
PYQ 2026
easy
physicsID: jee-main
A cylindrical object of density and height cm is floating in a liquid of density . Find height of cylinder inside liquid.
1
cm
2
cm
3
cm
4
cm
Official Solution
Correct Option: (1)
Step 1: Condition of floating body. For a floating body, weight of the object is equal to the buoyant force:
Step 2: Expressing weight and buoyant force.
where is total height and is submerged height. Step 3: Substituting given values.
