Relationship between magnetic field strength and voltage

In summary, the magnetic field strength is dependent on the amount of current flow, which is directly proportional to the voltage according to Ohm's Law. This is supported by Ampère's Circuital Law, which states that the magnetic field strength is directly proportional to the number of turns per metre of wire and the current flowing through the coil. Therefore, increasing the voltage will result in an increase in magnetic field strength.
  • #1
Daisy
12
0
So I'm really confused with the relationship between magnetic field strength and voltage. Say you have a battery (with a DC voltage) with 4 coils, when voltage increases, does magnetic field strength increase? Is there any law (i.e. Faraday's law) that supports this?
 
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  • #3
The magnetic field strength is given by B=nIl where B is the magnetic field, n is the number of turns per metre of the wire of length l metres that makes up the coil and I is the current flowing through the coil.

The current flowing through the coil is given by Ohm's Law I=V/R where V is the potential difference in volts between the ends of the wire of the coil and R is the resistance of the coil.

So yes, if all else stays the same, increasing the voltage will increase the current which will increase the magnetic field.
 

Related to Relationship between magnetic field strength and voltage

1. How does changing the magnetic field strength affect the voltage in a circuit?

The strength of the magnetic field in a circuit is directly proportional to the voltage induced in the circuit. This means that as the magnetic field strength increases, the voltage also increases, and vice versa. This relationship is known as Faraday's Law of Induction.

2. What factors can affect the strength of the magnetic field in a circuit?

The strength of the magnetic field in a circuit can be affected by various factors such as the number of turns in the coil, the current flowing through the coil, the permeability of the material in the core, and the distance between the coil and the source of the magnetic field.

3. How does the voltage induced by a magnetic field depend on the frequency of the magnetic field?

The voltage induced by a magnetic field is directly proportional to the frequency of the magnetic field. This means that as the frequency increases, the induced voltage also increases, and vice versa. This is known as Lenz's Law.

4. Can the voltage induced by a magnetic field be negative?

Yes, the voltage induced by a magnetic field can be negative. This occurs when the magnetic field and the direction of the current in the circuit are in opposite directions, causing the induced voltage to be in the opposite direction as well.

5. How is the strength of the magnetic field and voltage related in a transformer?

In a transformer, the strength of the magnetic field in the primary coil is directly proportional to the voltage in the secondary coil. This means that as the strength of the magnetic field in the primary coil increases, the voltage in the secondary coil also increases, and vice versa.

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