The charge flowing in a conductor varies with time as $Q = at -bt^2$. Then for current, which statement is incorrect.
$(A)$ decreases linearly with time
$(B)$ reaches a maximum and then decreases
$(C)$ fall to zero after time $t = a/2b$
$(D)$ changes at a rate $-2b$
Options :
$(A)$ decreases linearly with time
$(B)$ reaches a maximum and then decreases
$(C)$ fall to zero after time $t = a/2b$
$(D)$ changes at a rate $-2b$
Options :
Medium
Download our app for free and get started
$(i)$ $\mathrm{I}=\frac{\text { da }}{\mathrm{dt}}=\mathrm{a}-2 \mathrm{bt}$ (linearly decreasing with time)
$(ii)$ $\mathrm{t} \uparrow \mathrm{I} \downarrow$
$(iii)$ For $\mathrm{I}=0 ; \mathrm{a}-2 \mathrm{bt}=0 ; \mathrm{t}=\mathrm{a} / 2 \mathrm{b}$
$(iv)$ $\frac{\mathrm{dI}}{\mathrm{dt}}=-2 \mathrm{b}$
Hence option $(4)$ is incorrect.
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
- 1In the circuit shown here, what is the value of the unknown resistor $R$ so that the total resistance of the circuit between points $P$ and $Q$ is also equal to $R$View Solution
- 2In a meter bridge, the wire of length $1\, m$ has a nonuniform cross-section such that, the variation $\frac{{dR}}{{d\ell }}$ of its resistance $R$ with length $\ell $ is $\frac{{dR}}{{d\ell }} \propto \frac{1}{{\sqrt \ell }}$ Two equal resistances are connected as shown in the figure. The galvanometer has zero deflection when the jockey is at point $P$. What is the length $AP$ ? ................ $m$View Solution
- 3Consider the circuit shown in the figure. The current ${I_3}$ is equal toView Solution
- 4View SolutionAccording to Joule's law, if the potential difference across a conductor having a material of specific resistance remains constant, then the heat produced in the conductor is directly proportional to
- 5View SolutionTwo identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:
- 6View SolutionAssertion : In a simple battery circuit, the point of the lowest potential is negative terminal of the battery.
Reason : The current flows towards the point of the higher potential, as it does in such a circuit from the negative to the positive terminal.
- 7Consider the circuit shown below where all resistors are $1 \,k \Omega$. If a current of magnitude $1 \,mA$ flows through the resistor marked $X$, the potential difference measured between points $P$ and $Q$ are ..............$V$View Solution
- 8What is net force on the small dipole placed inside the capacitor at steady state if the plates are separated by $1\ cm$ ?......$N$View Solution
- 9The current $i_1$ and $i_2$ through the resistors $R_1(=10\,\Omega )$ and ${R_2}\left( { = 30\,\Omega } \right)$ in the circuit diagram with $E_1 = 3\,V$, $E_2 = 3\,V$ and $E_3 = 2\,V$ are respectivelyView Solution
- 10A piece of fuse wire melts when a current of $15\, ampere$ flows through it. With this current, if it dissipates $22.5\, W$, the resistance of fuse wire will be .............. $\Omega$View Solution