# If A is the dimension of current and T is the dimension of time, the AT is the dimensional formula of ______.

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If A is the dimension of current and T is the dimension of time, the  AT is the dimensional formula of ______.
1. Voltage
2. Electric Charge
3. Work
4. Resistance

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Correct Answer - Option 2 : Electric Charge

Concept:

Dimensional Formula

• It depicts the way to relate any unit to fundamental Units.
• If we have to find The dimensional formula of any quantity.
•  At first, we find its units in terms of these fundamental units, and then replace units with these dimensions.

Dimensional Formula of Fundamental Units are

 Physical Quantity SI Unit Dimension Mass Kg M Time Second T Length Meter L Current Ampere A Temperature Kelvin K

Explanation:

• A is the dimension of current, and T is the dimension of time.
• AT is the dimension of the unit, which is the multiplication of current and time.
• Current is charge flowing per unit time.

I = q / t

So, q = I × t

The charge is the product of current and time.

So, the correct option is electric charge.

 Physical Quantity Dimension Voltage [M L2 T-3 A-1] Work [M L 2 T -2] Resistance [ML2 T-3 A-2]