If `theta = 180` degree, then the value of induced emf `epsi` is?

Options

A. Infinite
B. Zero
C. Between Zero and 1
D. One

Explanation

To solve the problem, we need to find the value of the induced emf (ε) when the angle (θ) is given as 180 degrees.

### Step-by-Step Solution:

1. **Understand the Formula for Induced EMF**:
The induced emf (ε) is given by the formula:
\[ \epsilon = E_0 \sin(\theta) \]
where \(E_0\) is the maximum emf and \(\theta\) is the angle.

2. **Substitute the Given Value of θ**:
We are given that \(\theta = 180\) degrees. We will substitute this value into the formula:
\[ \epsilon = E_0 \sin(180^\circ) \]

3. **Calculate the Sine of 180 Degrees**:
We know from trigonometry that:
\[ \sin(180^\circ) = 0 \]

4. **Calculate the Induced EMF**:
Now substituting the value of \(\sin(180^\circ)\) into the equation:
\[ \epsilon = E_0 \cdot 0 = 0 \]

5. **Conclusion**:
Therefore, the value of the induced emf (ε) when \(\theta = 180\) degrees is:
\[ \epsilon = 0 \]

### Final Answer:
The value of induced emf (ε) is **0**.

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