How Does Changing Current in One Solenoid Affect Another?

In summary, two solenoids have the same cross-sectional area, with one having a field of 1.5 T and the other having 150 turns and a resistance of 20 ohms. The current in the first solenoid is reduced to zero over 0.5s, and the question is asking for the current in the second solenoid during this time. To solve this, we can use Faraday's law to find the induced voltage and Ohm's law to find the current. The self-inductance can be ignored because the length of the solenoid is unknown. Using V=dF/dt (where F is the flux) and knowing that the change in flux is uniform, we can easily
  • #1
klalli02
1
0
A solenoid has a field of 1.5 T when the current is flowing in it. Its cross-sectional area is 0.30m^2. Another solenoid with 150 turns and a resistance of 20 ohms is wound tightly around the original solenoid so that both solenoids have the same cross-sectional area. The current in the first solenoid is reduced to zero uniformly over 0.5s. What current flows in the second solenoid during this time? Can some one help me with this question I am completely lost!
 
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  • #2
Just apply Faraday's law to find the induced voltage, then Ohm's law to find the current. You can ignore self-inductance (I think) because the length of the solenoid is unknown.
 
  • #3
You would just use V=dF/dt, where F is the flux. This should be easy (uniform change means just divide change in flux by change in time). Once you have the voltage and the resistance, I hope you can find the current
 

FAQ: How Does Changing Current in One Solenoid Affect Another?

What is a solenoid?

A solenoid is a coil of wire that is used to create a magnetic field when an electric current is passed through it. It is typically cylindrical in shape with a uniform winding of wire, and it is commonly used in electronic devices, such as electromagnets and inductors.

What is the relationship between current and magnetic field in a solenoid?

The magnetic field produced by a solenoid is directly proportional to the current flowing through it. This means that increasing the current will result in a stronger magnetic field, while decreasing the current will result in a weaker magnetic field.

How does changing the number of turns in a solenoid affect the magnetic field?

The number of turns in a solenoid is directly proportional to the strength of the magnetic field it produces. This means that increasing the number of turns will result in a stronger magnetic field, while decreasing the number of turns will result in a weaker magnetic field.

What is the equation for calculating the magnetic field strength inside a solenoid?

The equation for calculating the magnetic field strength inside a solenoid is B = μnI, where B is the magnetic field strength, μ is the permeability of the material inside the solenoid, n is the number of turns per unit length, and I is the current flowing through the solenoid.

How is the direction of the magnetic field determined in a solenoid?

The direction of the magnetic field inside a solenoid is determined by the right-hand rule. If you point your right thumb in the direction of the current flow, then your fingers will curl in the direction of the magnetic field lines.

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