The charge $q$ (in coulomb) passing through a $10 \, \Omega$ resistor as a function of time $t$ (in second) is given by $q = 3t^2 - 2t + 6$. The potential difference across the ends of the resistor at time $t = 5 \, s$ is: (in $V$)

  • A
    $120$
  • B
    $240$
  • C
    $140$
  • D
    $280$

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What conclusion can you draw from the following observations on a resistor made of alloy manganin?
$I (A)$$V (V)$$I (A)$$V (V)$
$0.2$$3.94$$3.0$$59.2$
$0.4$$7.87$$4.0$$78.8$
$0.6$$11.8$$5.0$$98.6$
$0.8$$15.7$$6.0$$118.5$
$1.0$$19.7$$7.0$$138.2$
$2.0$$39.4$$8.0$$158.0$

Which of the following graphs represents an ohmic resistance?

The voltage $V$ and current $I$ graph for a conductor at two different temperatures $T_1$ and $T_2$ are shown in the figure. The relation between $T_1$ and $T_2$ is

The $V-i$ graph for a conductor at temperatures $T_1$ and $T_2$ are as shown in the figure. $(T_2 - T_1)$ is proportional to

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$E$ is the electric field inside a conductor whose material has conductivity $\sigma$ and resistivity $\rho$. The current density inside the conductor is $J$. The correct form of Ohm's law is

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