Question

The instantaneous sinusoidal emf from an ac generator with an mos emf of $4.0 \mathrm{V}$ oscillates between what values?

Short answer

Answer: The instantaneous sinusoidal emf oscillates between -4.0 V and 4.0 V.

Step-by-step solution

Identify the given information

We are given the mos emf (maximum emf), \(Emf_{max}= 4.0\mathrm{V}\).

Analyze the sinusoidal function

The sinusoidal function for an AC generator can be written as: \(emf = Emf_{max} \cdot \sin(\omega t)\) The value of the \(\sin(\omega t)\) function oscillates between -1 and 1, as the sine function reaches its maximum and minimum values at these points.

Determine the range of the instantaneous emf

To find the range of the instantaneous emf, we will multiply the mos emf (maximum emf) by the minimum and maximum values of the sine function. Minimum instantaneous emf: \(emf_{min} = Emf_{max} \cdot (-1) = -4.0\mathrm{V}\) Maximum instantaneous emf: \(emf_{max} = Emf_{max} \cdot 1 = 4.0\mathrm{V}\)

State the range of the instantaneous emf

The instantaneous sinusoidal emf from the AC generator oscillates between -4.0 V and 4.0 V.