Find the dimensions of Resistance of a wire `frac(dv)(dx^2)` = velocity gradient

Find dimensions of permittivity of vacuum, if F=frac(1)(4pi epsilon_0) frac(q_1q_2)(r^2)

If the resistance of wire A is four times the resistance of wire B, find the ratio of their cross sectional areas.

A potentiometer wire is 10 m long and has a resistance of 2 Omega//"m". It is connected in series with a battery of e.m.f. 3 V and a resistance of 10Omega . The potential gradient along the wire in V/m is

A 2 volt battery, a 15 Omega resistor and a potentiometer of 100 cm length, all are connected in series. If the resistance resistance of potentiometer wire is 5 Omega , then the potential gradient of the potentiometer wire is

A potentiometer has uniform potential gradient. The specific resistance of the material of the potentiometer wire is 10^(-7) ohm-metre and the current passing through it is 0.1 ampere, cross-section of the wire is 10^(-6)" m"^(2) . The potential gradient along the potentiometer wire is

The S.I. unit and dimensions of velocity gradient is streamline flow is

A cell of e.m.f. 2 volt and negligible internal resistance is connected to potentiometer wire of length 4 m and resistance 25 Omega , to form a closed circuit. Find the potential gradient along the wire .

A resistance of 990Omega and a cell of emf 2 V is connected in series with a potentiometer wire having a length 2 m and resistance 10Omega . The potential gradient along the wire will be

Potentiometer wire of length 1 m is connected in series with 490 Omega resistance and 2 V battery. If 0.2 mV / cm is the potential gradient, then resistance of the potentiameter wire is approximately

A potentiometer wire of length 10 m and resistance 9 ohm is connected to a battery of e.m.f. 2.1 volt having internal resistance 1.5 Omega . Find the potential gradient along the wire and the balancing length for a cell of e.m.f. 1.08 volt .