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The potential difference applied across a given conductor is doubled. How will this affect (i) the mobility of electrons and (ii) the current density in the conductor? Justify your answers.

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प्रश्न

The potential difference applied across a given conductor is doubled. How will this affect (i) the mobility of electrons and (ii) the current density in the conductor? Justify your answers.

व्युत्पत्ति
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उत्तर

Mobility of electron `mu = (v_d)/E = (v_dl)/V`

as `E = V/l`

Hence, `mu prop 1/V`

If V becomes 2V, the mobility will become half. The current density is given by

`J = n ev_d`

J = `n e.(eVtau)/(ml)`

J = `(n e^2Vtau)/(ml)`

J ∝ V

When V become 2V current density will become twice.

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2022-2023 (March) Delhi Set 1

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