# Amplitude of the induced voltage across the coil

• lee.perrin@gm
In summary, the conversation involves calculating the amplitude of the induced voltage in a 5 turn coil with a 5mm² cross sectional area rotating at 1200 rpm in a 10mT magnetic field. The equation used is V(t) = -N•d(B•A)/dt = -N•B•dA/dt = N•B•ω•A•sin(ωt), with a result of 31.415 sin(ωt) volts. Another equation, V = dφ/dt or N.A. dB/dt, is also discussed, with a result of 4.17x10^-3 V. The main concern is that the given rpm of 1200 was not

#### lee.perrin@gm

If anyone can advise that would be great.

1. The plane of a 5 turn coil of 5mm² cross sectional area is rotating a 1200 r.p.m in a magnetic field of 10mT.

Q. Calculate the amplitude of the induced voltage across the coil

Data:

5 turns
c = 1200 rpm
A = 5cm²
B = 10 mT

2. φ = N.B.A φ = 5×10×10^-3 ×5 × 10^-2
φ = 2.5 ×10^-3

V = dφ/dt or N.A. dB/dt

The equation thought to have been used is the following but the Length is not vissible to me.

V/L = c x B c being the speed
B field
L lenth of wire

a: V(t) = -N•d(B•A)/dt = -N•B•dA/dt = N•B•ω•A•sin(ωt)
V(t) =(5)(10x10^-3)(125.66370599999999)(5)sin(ωt) = 31.415 sin(ωt) volts.

Or

b: And using the following, saying t = 60 sec

Then φ = N.B.A φ = 5×10×10^-3 ×5 × 10^-2
φ = 2.5 ×10^-3

And V = dφ/dt or N.A. dB/dt = 4.17x10^-3 V

My concern here is that 1200rpm was not used.

Last edited:
lee.perrin@gm said:
If anyone can advise that would be great.

1. The plane of a 5 turn coil of 5mm² cross sectional area is rotating a 1200 r.p.m in a magnetic field of 10mT.

Q. Calculate the amplitude of the induced voltage across the coil

Data:

5 turns
c = 1200 rpm
A = 5cm²
B = 10 mT

2. φ = N.B.A φ = 5×10×10^-3 ×5 × 10^-2
φ = 2.5 ×10^-3

V = dφ/dt or N.A. dB/dt

The equation thought to have been used is the following but the Length is not vissible to me.

V/L = c x B c being the speed
B field
L lenth of wire

a: V(t) = -N•d(B•A)/dt = -N•B•dA/dt = N•B•ω•A•sin(ωt)
V(t) =(5)(10x10^-3)(125.66370599999999)(5)sin(ωt) = 31.415 sin(ωt) volts.

Or

b: And using the following, saying t = 60 sec

Then φ = N.B.A φ = 5×10×10^-3 ×5 × 10^-2
φ = 2.5 ×10^-3

And V = dφ/dt or N.A. dB/dt = 4.17x10^-3 V

My concern here is that 1200rpm was not used.

You should write out the function φ(t) (hint: it is a sinusoidal function), then differentiate it to find V(t)...

## What is the amplitude of the induced voltage across the coil?

The amplitude of the induced voltage across the coil refers to the maximum value of the voltage generated by the coil due to a changing magnetic field. It is usually measured in volts (V).

## How is the amplitude of the induced voltage across the coil determined?

The amplitude of the induced voltage across the coil is determined by factors such as the strength and rate of change of the magnetic field, the number of turns in the coil, and the coil's dimensions. It can be calculated using Faraday's law of electromagnetic induction.

## What does the amplitude of the induced voltage across the coil indicate?

The amplitude of the induced voltage across the coil is an important indicator of the strength of the induced current in the coil. A higher amplitude voltage indicates a stronger induced current and vice versa.

## How does the amplitude of the induced voltage across the coil affect the performance of electronic devices?

The amplitude of the induced voltage across the coil can have a significant impact on the performance of electronic devices. If the voltage is too high, it can cause damage to the components of the device and affect its functionality. Therefore, proper measures such as using shielding or grounding techniques are necessary to control the amplitude of induced voltage.

## Can the amplitude of the induced voltage across the coil be controlled?

Yes, the amplitude of the induced voltage across the coil can be controlled through various methods such as using shielding materials, adjusting the distance between the coil and the magnetic field source, and using protective circuits. These measures help to minimize the impact of the induced voltage on electronic devices.