How much energy is given to each coulomb of charge passing through a 6 V battery?
The energy given to each coulomb of charge passing through a 6 V battery is 6 J.
Given: Potential difference, V = 6 V Charge, Q = 1 C
Formula: From the relation W = VQ, where W is the work done (energy), V is the potential difference, and Q is the charge.
Calculation: W = V × Q W = 6 V × 1 C W = 6 J
Therefore, 6 joules of energy is given to each coulomb of charge passing through a 6 V battery.
Explanation
This question is directly from NCERT Class 10 Science textbook (Chapter 11 - Electricity). The solution uses the fundamental relationship W = VQ, which is demonstrated in Example 11.2 of the textbook where W = 12 V × 2 C = 24 J. The question asks for energy per coulomb, so Q = 1 C. The potential difference of 6 V means each coulomb of charge receives 6 joules of energy as it passes through the battery. This is a straightforward application of the work-energy relationship in electric circuits.
Solution Steps
Step 1: Identify the given values - Potential difference V = 6 V, Charge Q = 1 C (since question asks for 'each coulomb')
Step 2: Apply the formula W = VQ (Work done = Potential difference × Charge)
Step 3: Substitute the values: W = 6 V × 1 C = 6 J
Step 4: Conclude that 6 joules of energy is given to each coulomb of charge.