Dimensions of resistance in an electrical circuit, in terms of dimension of mass M,

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I would be

Options

(a) [ML²T⁻²]
(b) [ML²T⁻¹I⁻¹]
(c) [ML²T⁻³I⁻²]
(d) [ML²T⁻³I⁻¹]

Correct Answer:

[ML²T⁻³I⁻²]

Explanation:

According to Ohm’s law,
V=RI or R = V/I
Dimensions of V=W/q = [ML²T⁻²]/[IT]
R=[ML²T⁻²/IT]/[I] =[ML²T⁻³I⁻²]

admin:

Related Questions

  1. Figure below shows two paths that may be taken by a gas to go from a state A
  2. If both the resistance and the inductance in an LR AC series circuit are doubled
  3. The masses of two radioactive substances are same and their half lives
  4. The electric field in a certain region is given by E=5i ̂-3ĵ kV/m. The potential
  5. The drift speed of electrons in copper wire of diameter and length l is v.