Alternating voltage (V) is represented by the equation
whrere `V_(m)` is the peak voltage

Options

A. `V_(t)=V_(m)e^(omega t)`
B. `V_(t)=V_(m) sin omega t`
C. `V(t)=V_(m) cot omega t`
D. `V(t)=V_(m)tant omega t`

Explanation

To solve the question regarding the representation of alternating voltage, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Alternating Voltage**:
Alternating voltage varies with time and can be represented mathematically. The standard form of the equation for alternating voltage is derived from the sine function.

2. **Identify the Components of the Equation**:
- **Peak Voltage (Vm)**: This is the maximum value of the voltage.
- **Angular Frequency (ω)**: This represents how quickly the voltage oscillates and is related to the frequency of the alternating current.

3. **Write the Standard Equation**:
The standard equation for alternating voltage (V) can be expressed as:
\[ V(t) = V_m \sin(\omega t) \]
where:
- \( V(t) \) is the instantaneous voltage at time \( t \),
- \( V_m \) is the peak voltage,
- \( \omega \) is the angular frequency,
- \( t \) is the time.

4. **Conclusion**:
The equation \( V(t) = V_m \sin(\omega t) \) represents the instantaneous voltage of an alternating current at any given time \( t \).