The current through a wire depends on time as $i = (2+3t)\, mA$. The charge crossing through a section of the wire in $1\, min$ is .............. $\mathrm{C}$
Medium
Download our app for free and get started
$i=2+3 t$
$\int \mathrm{d} q=\int i d t$
$\mathrm{q}=\int_{0}^{60} 2+3 \mathrm{t} \mathrm{dt}\left(\times 10^{-3}\right)$
$\mathrm{q}=\left[2 \mathrm{t}+\frac{3 \mathrm{t}^{2}}{2}\right]_{0}^{60} \times 10^{-3}$
$=[120+5400] \times 10^{-3}=5.52$ $\mathrm{coulamb}.$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The given figure shows $a$ network of resistances and $a$ battery. Identify the correct statement $(s)$View Solution
- 2View SolutionPick out the wrong statement
- 3View SolutionConsider four circuits shown in the figure below. In which circuit power dissipated is greatest (Neglect the internal resistance of the power supply)
- 4When a resistance of $2\,ohm$ is connected across the terminals of a cell, the current is $0.5$ amperes. When the resistance is increased to $5\, ohm$, the current is $0.25\, amperes$. The internal resistance of the cell is ............. $ohm$View Solution
- 5Consider the circuit given here with the following parameters $E.M.F.$ of the cell = $12\, V$. Internal resistance of the cell $ = 2\,\Omega $. Resistance $R = 4\,\Omega $ Which one of the following statements in trueView Solution
- 6Five cells each of emf $E$ and internal resistance $r$ are connected in series. Due to oversight one cell is connected wrongly. The equivalent internal resistance of the combination is ........... $r$View Solution
- 7View SolutionSensitivity of potentiometer can be increased by
- 8View SolutionSelect the correct statement
- 9$A$ Wheatstone's bridge is balanced with a resistance of $625\, \Omega$ in the third arm, where $P, Q$ and $S$ are in the $1^{st}, 2^{nd}$ and $4^{th}$ arm respectively. If $P$ and $Q$ are interchanged, the resistance in the third arm has to be increased by $51\,\Omega$ to secure balance. The unknown resistance in the fourth arm is ............. $\Omega$View Solution
- 10An electron (charge $= 1.6 × 10^{-19}$ coulomb) is moving in a circle of radius $5.1 × 10^{-11}\,m$ at a frequency of $6.8 × 10^{15} $ revolutions/sec. The equivalent current is approximatelyView Solution