Question

Name the physical quantity whose SI unit is

(i) coulomb/volt
(ii) newton/coulomb
(iii) joule/coulomb

Answer 1

(i) charge per unit length
(ii) electric field intensity
(iii) potential

Answer 2

Answer:  

The ‘physical quantity’ whose S.I unit is (i) coulomb/volt is capacitance and for (ii) newton/coulomb is electric field and for (iii) joule/coulomb is electric potential.

Explanation:

(i) The physical quantity whose S.I unit is coulomb/volt is capacitance.

The capacitance is defined as the charge produced by a given potential.  

The formula for capacitance (C) is  $C=\frac{Q}{V}$

The unit of charge (Q) is coulomb and the unit of potential (V) is volt so the unit of capacitance (C) will be coulomb/volt which can also be termed as Farad (F).

(ii) The physical quantity whose S.I unit is newton/coulomb is Electric field. Electric field can be defined as the electric force produced by a charged particle.  

Thus, the electric field can be mathematically represented as  

$E=\frac{F}{Q}$

The S.I unit of force (F) is Newton and the S.I unit of charge (Q) is coulomb. Thus the S.I unit of Electric field (E) became Newton/coulomb.

(iii) The ‘physical quantity’ whose S.I unit is Joules/coulomb is electric potential. The electric potential is defined as the amount of work required to bring a positively charged particles to a particular point.  

The electric potential can be mathematically represented as  

$V=\frac{W}{Q}$

The S.I unit of work done (W) is Joule and the S.I unit of charge (Q) is coulomb. Thus the S.I unit of electric potential (V) is Joule/coulomb which can also be termed as volt.