If on applying the potential of 20V on a conductor its conductance becomes `8(Omega)^(-1)`, then the current flowing through it will be:

Options

A. 120A
B. 160A
C. 90A
D. 80A

Explanation

To find the current flowing through a conductor when a potential of 20V is applied and its conductance is given as \(8 \, \Omega^{-1}\), we can follow these steps:

### Step 1: Understand the relationship between voltage, current, and conductance
According to Ohm's Law, the relationship between voltage (V), current (I), and resistance (R) is given by:
\[ V = I \cdot R \]
However, we are given conductance (G), which is the reciprocal of resistance:
\[ G = \frac{1}{R} \]
Thus, we can express current in terms of voltage and conductance:
\[ I = V \cdot G \]

### Step 2: Substitute the known values into the equation
We know:
- Voltage, \( V = 20 \, V \)
- Conductance, \( G = 8 \, \Omega^{-1} \)

Now, substituting these values into the equation for current:
\[ I = 20 \, V \cdot 8 \, \Omega^{-1} \]

### Step 3: Calculate the current
Now we perform the multiplication:
\[ I = 20 \cdot 8 = 160 \, A \]

### Conclusion
The current flowing through the conductor is:
\[ I = 160 \, A \]

### Final Answer
The current flowing through the conductor is **160 A**.

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