State faraday's law of electromagnetic induction express it mathematically
Asked by admin @ in Physics viewed by 285 People
State Faraday’s laws of electromagnetic induction. Express it mathematically.
Asked by admin @ in Physics viewed by 285 People
State Faraday’s laws of electromagnetic induction. Express it mathematically.
Answered by admin @
Faraday's law states that the absolute value or magnitude of the circulation of the electric field E around a closed loop is equal to the rate of change of the magnetic flux through the area enclosed by the loop. The equation below expresses Faraday's law in mathematical form.
ΔΦB/∆t (through a fixed area) = -Σaround loop E∙∆r (at a fixed time)
The minus sign in this equation tells us about the direction of the circulation. (See below.)
When the magnetic flux through the area enclosed by the loop changes, Σaround loop E∙∆r is not zero, the electric field E circulates.
E∙∆r is the work done per unit charge by the electric field in moving the charge a distance ∆r.
If the loop is an actual wire loop, then there is actual work done by the induced field on free charges.
Σaround loop E∙∆r is the work per unit charge by the field in moving the charge once around the loop.
This is an induced emf, and it is measured in Volts.
The induced emf causes a current to flow without a potential difference due to separated charges.
ΔΦB/∆t (through a fixed area) = induced emf
The induced electric field is NOT a conservative field. When you move a charge against the induced field once around the loop, you have to do work. But your work is NOT stored as potential energy. You cannot let the electric field do work to recover the energy you expended in moving the charge. The induced electric field disappears as soon as the magnetic flux is no longer changing. The work you do on a charge against the induced field is not locally stored. The energy may be transported away in the form of an electromagnetic wave. Electromagnetic waves carry energy through free space.
Asked by admin @ in Physics viewed by 332 persons
Asked by admin @ in Physics viewed by 456 persons
Asked by admin @ in Physics viewed by 298 persons
Asked by admin @ in Physics viewed by 302 persons
Asked by admin @ in Physics viewed by 420 persons
Asked by admin @ in Physics viewed by 305 persons
Asked by admin @ in Physics viewed by 306 persons
Asked by admin @ in Physics viewed by 336 persons
Asked by admin @ in Science viewed by 344 persons
Asked by admin @ in Physics viewed by 306 persons
Asked by admin @ in History viewed by 314 persons
Asked by admin @ in Science viewed by 434 persons
Asked by admin @ in CBSE BOARD XII viewed by 454 persons
Asked by admin @ in Physics viewed by 333 persons
Asked by admin @ in Physics viewed by 249 persons
Asked by admin @ in Physics viewed by 11070 persons
Asked by admin @ in Physics viewed by 2667 persons
Asked by admin @ in Physics viewed by 1528 persons
Asked by admin @ in Physics viewed by 1512 persons
Asked by maham237 @ in Physics viewed by 1314 persons
Asked by maham237 @ in Physics viewed by 1203 persons
Asked by admin @ in Physics viewed by 1146 persons
Asked by maham237 @ in Physics viewed by 1098 persons
Asked by maham237 @ in Physics viewed by 1080 persons