Q. 15.0( 1 Vote )

# Calculate the dimension of

(a) (b) vBℓ (c)

The symbols have their usual meanings.

Answer :

(a)using faraday’s law of induction

Where ϵ is the emf or voltage

has thus the dimensions of voltage

Voltage is given by formula

Where

W=work done

Q=charge

Dimensions of W=

Dimensions of Q=

The dimensions of voltage can be given as

……(i)

(b) vBl is the motional emf developed due to motion of conductor of length l with velocity v in a magnetic field (B)

Therefore, vBl has same dimensions as of voltage

Therefore, by eqn.(i)

(c) by faraday’s law of electromagnetic induction

Where

ϵ =emf produced

ϕ =flux of magnetic field

thus has same dimensions as of emf or voltage

therefore, by eqn.(i)

**Therefore** **,** **and** **all have same dimensional formula equal to**

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