Question

If the distance between two charges is 2a,
then the dipole moment of this system is
given by p= (2a) q, where q is electric
charge Dimensional formula of p = ​

Answer 1

$\mathtt{ \huge\fbox{Solution :)}}$

Electric dipole is defined as the pair of equal and opposite point charges q and -q are separated by a distance 2a

It is denoted by "P"

P = q × 2a

We know that ,

$\sf Dimensional \: formula \: of \: charge \: (q) = {(M)}^{0} {(L)}^{0} {(T)}^{1} {(A)}^{1}$

and

$\sf Dimensional \: formula \: of \: length \: (a) = {(M)}^{0} {(L)}^{1} {(T)}^{0}$

Putting these values in above equations , we get

$\sf \hookrightarrow P ={(M)}^{0} {(L)}^{0} {(T)}^{1} {(A)}^{1} \times {(M)}^{0} {(L)}^{1} {(T)}^{0} \\ \\ \sf \hookrightarrow P= {(M)}^{0} {(L)}^{1} {(T)}^{1} {(A)}^{1}$

Hence , the dimensional formula of dipole moment is $\mathtt{ \fbox{ {(M)}^{0} {(L)}^{1} {(T)}^{1} {(A)}^{1}}}$

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