Knowee
Questions
Features
Study Tools

A thin coil has 10 rectangular turns of wire. When a current of 2.00 A runs through the coil, there is a total flux of 0.005 T-m2 enclosed by one turn of the coil (note that the inductance is the proportionality constant between current and magnetic flux). What is the total inductance in Henries?

Question

A thin coil has 10 rectangular turns of wire. When a current of 2.00 A runs through the coil, there is a total flux of 0.005 T-m2 enclosed by one turn of the coil (note that the inductance is the proportionality constant between current and magnetic flux). What is the total inductance in Henries?

🧐 Not the exact question you are looking for?Go ask a question

Solution

The inductance (L) of a coil can be calculated using the formula:

L = Φ/I

where: Φ is the magnetic flux through the coil, and I is the current flowing through the coil.

Given in the problem, the flux Φ through one turn of the coil is 0.005 T-m2 and the current I is 2.00 A.

However, since there are 10 turns in the coil, the total flux through the coil will be 10 times the flux through one turn.

So, the total flux Φ_total = 10 * Φ = 10 * 0.005 T-m2 = 0.05 T-m2.

Substituting these values into the formula gives:

L = Φ_total / I = 0.05 T-m2 / 2.00 A = 0.025 H.

So, the total inductance of the coil is 0.025 Henries.

This problem has been solved

Similar Questions

The current in a coil changes from 2 A to 10 A in 80 ms. As a result, an e.m.f of 5.0V is induced in the coil. Determine the magnitude of the self-inductance of the coil

The magnetic flux linked with a coil changes by 2×10-2Wb when the currentchanges by 0.01A. The self inductance of the coil is

A coil of wire enclosing an area 100 cm2 is placed with its plane making an angle 60º with the magnetic field ofstrength 10-1T. What is the flux through the coil? If magnetic field is reduced to zero in 10-3 s, then find the inducedemf

A coil has 170 turns enclosing an area of 14.0 cm2cm2 . In a physics laboratory experiment, the coil is rotated during the time interval 0.044 ss  from a position in which the plane of each turn is perpendicular to Earth's magnetic field to one in which the plane of each turn is parallel to the field. The magnitude of Earth's magnetic field at the lab location is 6.50×10−5 TT .Part AWhat is the magnitude |Φinitial||Φinitial| of the magnetic flux through one turn of the coil before it is rotated?

A uniform magnetic field, B of strength 0.5T is directed at an angle of 30° to the plane of a rectangular copper coil of length 0.04m and width 0.05m. Determine the flux through the coil.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.