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Force on a Current Element

Relation betw...

Question

Relation between current in conductor and time is shown in figure. Write the expression of current in terms of time.

i = i_{0} \frac{t}{t_{0}}

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i = i_{0} (1 + \frac{t}{t_{0}})

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i = i_{0} (\frac{t}{t_{0}} - 1)

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i = i_{0} (1 - \frac{t}{t_{0}})

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Solution

The correct option is D $i = i_{0} (1 - \frac{t}{t_{0}})$
Equation of this line $= \frac{y}{y_{0}} + \frac{x}{x_{0}} = 1$
Here $y = i, y_{0} = i_{0} x = t, x_{0} = t_{0} \frac{i}{i_{0}} + \frac{t}{t_{0}} = 1 i = (1 - \frac{t}{t_{0}}) i_{0}$

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