JEE PHYSICS MCQ: ELECTRIC FIELDS AND CHARGES

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Analyzing +4 | -1

An infinite number of charges, each of magnitude

\mathrm{q}

, are placed along

\mathrm{X}

-axis at

\mathrm{x}=1 \mathrm{~m}, 2 \mathrm{~m}, 4 \mathrm{~m}, 8 \mathrm{~m}, 16 \mathrm{~m}

and so on but the consecutive charges are of opposite sign starting with

+\mathrm{q}

\mathrm{x}=1 \mathrm{~m}

. A point charge

\mathrm{q}_0

, kept at the origin, experiences a force of magnitude:

View answer and explanation

Correct option: B

\frac{\mathrm{q q}_0}{5 \pi \varepsilon_0}

Option B (

\frac{\mathrm{q q}_0}{5 \pi \varepsilon_0}

) is correct because the electric field due to the infinite series of charges converges to this value.

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r.

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\left( {{\varepsilon _r} = 8} \right)

N

5 \times {10^{ - 2}}