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Potential difference or work done from a given position-dependent field

This type of question, asked 2 times: 22 Jan 2026 S1, 6 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    22 Jan 2026 S1

    17
    Electric field in a region is given by E→=Axi^+Byj^\overrightarrow{E}= Ax\widehat{i}+ By\widehat{j}, where A=10 V/m2A = 10\text{ }V/m^{2} and B=5 V/m2B = 5\text{ }V/m^{2}. If the electric potential at a point (10,20)(10,20) is 500 V , then the electric potential at origin is ____\_\_\_\_ V.

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  2. Question 2

    6 Apr 2026 S1

    24
    A three coulomb charge moves from the point ( 0,−2,−50, - 2, - 5 ) to the point ( 5,1,25,1,2 ) in an electric field expressed as E→=2xi^+3y2j^+4k^N/C\overrightarrow{E} = 2x\widehat{i} + 3y^{2}\widehat{j} + 4\widehat{k}N/C. The work done in moving the charge is ____\_\_\_\_ J.