Single Choice

A conducting rod $$PQ$$ of length 5m oriented as shown in figure is moving with velocity (2 m/s)$$\hat{i}$$without rotation in a uniform magnetic field $$(3\hat{j}+4\hat{k})$$ Tesla. The emf induced in the rod is

A32 volts
Correct Answer
B40 volts
C50 volts
Dnone

Solution

effective length of the rod that create the $$EMF$$ due to $$z$$ component of the field $$l=5 \sin 53=4m$$
$$E_{z}=4*2*4 =32$$
effective length of the rod that create the $$EMF$$ due to $$y$$ component of the field $$l=0\ m$$
$$E_{y}= 3*2 * 0=0$$
net $$EMF= 32\ volt$$
Option $$A$$


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