Two solenoids of equal number of turns have their lengths and the radii in the same ratio 1:2. The ratio of their self inductances will be

Question

Two solenoids of equal number of turns have their lengths and the radii in the same ratio 1:2. The ratio of their self inductances will be

Two solenoids of equal number of turns have their lengths and the radii in the same ratio 1:2. The ratio of their self inductances will be
A. `1:2`
B. `2:1`
C. `1:1`
D. `1:4`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Related Questions

If the self inductance of 500 turns coil is 125 mH, then the self inductance of the similar coil of 800 turns is

2 Answers 4 Views

Two solenoids acting as short bar magnets P and Q are arranged such that their centres are on the X-axis and are separated by a large distance . The m

2 Answers 4 Views

Two wire of same material and same diameter have lengths in the ratio 2 : 5. They are stretched by same force. The ratio of work done in stretching th

2 Answers 4 Views

Two wires A and B of same length and of the same material have the respective radii `r_(1)` and `r_(2)`. Their one end is fixed with a rigid support,

2 Answers 5 Views

Two particles of masses in the ratio 2:1 are moving in circular paths of radii in the ratio 3:2 with time period in the ratio 2:3 .The ratio of their

2 Answers 6 Views

Two solid spheres of different materials have the same moments of inertia about their diameters. If `r_(1)` and `r_(2)` are their radii, ratio of thei

2 Answers 4 Views

Two wires A and B are of the same material. Their lengths are in the ratio 1 : 2 and the diameter are in the ratio 2 : 1. If they are pulled by the sa

2 Answers 5 Views

Two pieces of wire, A and B of the same material have their lengths in the ratio `1:3` and their diameters are in the ratio `2:1` . If they are stretc

2 Answers 5 Views

Two wires of same material and length are stretched by the same force. If the ratio of radii of the two wires in `n:1` then the ratio of their elongat

2 Answers 5 Views

Two wires whose lengths are in ratio 3:2 are stretched with equal tension and give equal frequency . If the radii of the wires are in the ratio 3:2, t

2 Answers 5 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - A
Self inductated of a sloenoid,
`L=(mu_(0)N^(2)A)/(l)=(mu_(0)N^(2)pir^(2))/(l)`
where l is the length of the solenoid, N is the total nomber of turns of th solenoid and A sis the area f cross- section of the solenoid.
`:.(L_(1))/(L_(2))((N_(1))/(N_(2)))^(2)((r_(1))/(r_(2)))^(2)((l_(2))/(l_(1)))`
Here, `N_(1)=N_(2),(l_(1))/(l_(2))=(1)/(2),(r_(1))/(r_(2))=(1)/(2)`
`:.(L_(1))/(L_(2))=((1)/(2))^(2)((2)/(1))=(1)/(2)`