The dimension of 0 0 is equal to that of: ( 0 = Vacuum permeability and 0 = Vacuum permittivity)
- Voltage
- Inductance
- Resistance
- Capacitance
Answer
(3) Resistance
Solution
c = 1 0 0 1 0 = 0 c2
0 0 = 02 c2 = 0 c
[ 0] = [ MLT-2A-2] (from F = 0 I1 I2 l2 d), [c] = [ LT-1]
[ 0 c] = [ ML2T-3A-2]
Resistance: R = VI = PI2 [R] = [ ML2T-3][A2] = [ ML2T-3A-2]
0 0 has the dimension of resistance (it is the impedance of free space, about 377 ).
Answer: (3)