Which of the following transformations (V,\vec{A})\to \left( {V}^{\prime },{\vec{A}}^{\prime } \right) of the electrostatic potential V and the vector potential \vec{A} is a gauge transformation?

Potential Formulation — CSIR Net PYQ (Question 1)

A Potential Formulation previous-year question (PYQ) from Electromagnetism (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 1 of 5 · 3.5 marks

Which of the following transformations

(V, A) \to (V^{'}, A^{'})

of the electrostatic potential

V

and the vector potential

A

is a gauge transformation?

1 $(V^{'} = V + a x, A^{'} = A + a t \hat{k})$
2 $(V^{'} = V + a x, A^{'} = A - a t \hat{k})$
3 $(V^{'} = V + a x, A^{'} = A +$ at $\overset{ı}{^})$
4 $(V^{'} = V + a x, A^{'} = A - a t \overset{ı}{^})$

Correct answer: Option 4

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