Induced Voltage Calculation for Stick in Magnetic Field B

In summary, the conversation discusses finding the induced voltage in a stick that is accelerated by 1m/s/s in a magnetic field with a strength of B=0.606T. The formula used is U = B/V, which is B/(a*t), but it is later corrected to be B * L * V. The final result should be given in mV, and the conversation ends with the understanding that the equation was written incorrectly and has now been corrected.
  • #1
Petkovsky
62
0
OK, so we have a stick 91cm long which is accelerated by 1m/s/s in a magnetic field B= 0.606T.

I need to find the induced voltage at time t = 288ms.

So U = B/V which is B/(a*t)

When i calculate i get 2 Volts which i think is too much. Plus the solution should be given in mV. Is this the correct result or I'm doing something wrong?
 
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  • #2
Petkovsky said:
So U = B/V which is B/(a*t)

Uh, that equation is wrong. For one thing, it says a motionless stick (V=0) would generate an infinite amount of EMF!

What is the equation for EMF or U in terms of area and magnetic field?
 
  • #3
Oh, sorry it's B * L * V, i missinterpreted l and /. Tnx, anyway it is a stupid equation the way i wrote it, I should have seen that.
 
  • #4
No problem. If you're still stuck post again, but it sounds like you have it now.
 

FAQ: Induced Voltage Calculation for Stick in Magnetic Field B

How is induced voltage calculated for a stick in a magnetic field?

The induced voltage in a stick placed in a magnetic field can be calculated using Faraday's Law. This law states that the induced voltage is equal to the rate of change of magnetic flux through the surface area of the stick.

What is the formula for calculating induced voltage in this scenario?

The formula for calculating induced voltage in a stick in a magnetic field is: V = -N * A * B * cos(theta) * d(phi)/dt, where N is the number of turns in the stick, A is the area of the stick, B is the magnetic field strength, theta is the angle between the stick and the magnetic field, and d(phi)/dt is the rate of change of the magnetic flux through the stick.

What factors affect the induced voltage in a stick in a magnetic field?

The induced voltage in a stick in a magnetic field is affected by the number of turns in the stick, the area of the stick, the strength of the magnetic field, the angle between the stick and the magnetic field, and the rate of change of the magnetic flux through the stick.

Can induced voltage be negative in this scenario?

Yes, induced voltage can be negative in this scenario. This occurs when there is a decrease in the magnetic flux through the stick, resulting in a negative value for the rate of change of the magnetic flux. This can happen if the stick is moved out of the magnetic field or if the magnetic field strength decreases.

What is the unit of measurement for induced voltage?

The unit of measurement for induced voltage is volts (V). This is the same unit used for electric potential difference, as induced voltage is essentially a type of electric potential difference caused by the changing magnetic flux.

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