If the resistance is halved the current gets ____

Options

A. remains same
B. doubled
C. tripled
D. halved

Answer

To solve the problem, we need to understand the relationship between current (I), resistance (R), and voltage (V) as described by Ohm's Law, which states:

\[ V = I \times R \]

From this, we can derive that:

\[ I = \frac{V}{R} \]

Now, let's analyze the situation step by step:

### Step 1: Understand the Initial Condition
We have an initial resistance \( R \) and an initial current \( I \) flowing through it.

**Hint:** Remember that current is dependent on both voltage and resistance.

### Step 2: Halve the Resistance
If the resistance is halved, the new resistance \( R' \) becomes:

\[ R' = \frac{R}{2} \]

**Hint:** Think about how changing the resistance affects the current according to Ohm's Law.

### Step 3: Apply Ohm's Law to the New Resistance
Using Ohm's Law with the new resistance, the new current \( I' \) can be expressed as:

\[ I' = \frac{V}{R'} \]

Substituting \( R' \) into the equation gives us:

\[ I' = \frac{V}{\frac{R}{2}} \]

**Hint:** Simplify the fraction to see how the current changes.

### Step 4: Simplify the Expression
Now simplify the equation:

\[ I' = \frac{V \times 2}{R} \]
\[ I' = 2 \times \frac{V}{R} \]
\[ I' = 2I \]

**Hint:** Notice that the new current is twice the original current.

### Conclusion
Thus, if the resistance is halved, the current gets **doubled**.

**Final Answer:** The current gets doubled.