$A$ constant force $F$ is applied to a conducting rod of length $l$ moving with constant speed $V$ on two parallel conducting rails connected at the ends by a resistance $R$ in a uniform magnetic field $B$,as shown. If the current flowing through the circuit is $I$,then:

  • A
    Current will flow from $A$ to $B$ through resistance.
  • B
    Current will flow from $B$ to $A$ through resistance.
  • C
    Potential difference across resistance $R$ is $2VBl$.
  • D
    Potential difference across resistance $R$ is $3VBl$.

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$A$ conducting circular loop is placed in a uniform magnetic field of $0.4\,T$ with its plane perpendicular to the field. The radius of the loop starts expanding at a constant rate of $1\,mm/s$. The magnitude of the induced emf in the loop at an instant when the radius of the loop is $2\,cm$ will be $...........\,\mu V$.

$A$ uniform magnetic field of $0.4 \ \text{T}$ acts perpendicular to a circular copper disc $20 \ \text{cm}$ in radius. The disc is rotating with a uniform angular velocity of $10 \pi \ \text{rad s}^{-1}$ about an axis passing through its centre and perpendicular to the disc. What is the potential difference developed between the axis of the disc and the rim (in $\text{V}$)? $(\pi = 3.14)$

$A$ big circular coil of $1000$ turns and average radius $10 \, m$ is rotating about its horizontal diameter at $2 \, rad \cdot s^{-1}$. If the vertical component of Earth's magnetic field at that place is $2 \times 10^{-5} \, T$ and the electrical resistance of the coil is $12.56 \, \Omega$,then the maximum induced current (in $A$) in the coil will be:

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