Kelvi

The charge flowing through a resistance $R$ varies with time $t$ as $Q = at - bt^2,$ where $a$ and $b$ are positive constants. The total heat produced in $R$ is

hard

Current Electricity

2016

physics

$\frac{a^2 R}{2b}$

$\frac{a^3 R}{b}$

Explanation

To solve this problem, we need to find the total heat produced in the resistance $R. \\$ The charge $Q$ flowing through the resistance is given by $Q = at - bt^2. \\$ The current

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The charge flowing through a resistance R R R varies with time t t t as Q=at−bt2, Q = at - bt^2, Q=at−bt2, where a a a and b b b are positive constants. The total heat produced in R R R is

Explanation

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The charge flowing through a resistance $R$ varies with time $t$ as $Q = at - bt^2,$ where $a$ and $b$ are positive constants. The total heat produced in $R$ is