What are the dimensions of impedance?

Question

What are the dimensions of impedance? (A) [ ML 2 T -3 I -2] (B) [ M -1 L -2 T 3 I 2] (C) [ ML 3 T -3 I -2] (D) [ M -1 L -3 T 3 I 2]

Tardigrade Admin · Accepted Answer

Impedance has the same dimensions as that of a resistance. Resistance, R=( text Voltage V/ text Current I)=([ ML 2 T -3 I -1]/[ I ]) =[ ML 2 T -3 I -2]

Q. What are the dimensions of impedance?

$[M L^{2} T^{- 3} I^{- 2}]$

$[M^{- 1} L^{- 2} T^{3} I^{2}]$

$[M L^{3} T^{- 3} I^{- 2}]$

$[M^{- 1} L^{- 3} T^{3} I^{2}]$

Impedance has the same dimensions as that of a resistance.
Resistance, $R = \frac{Voltage V}{Current I} = \frac{[ M L ^{2} T ^{- 3} I ^{- 1} ]}{[ I ]}$
$= [M L^{2} T^{- 3} I^{- 2}]$

Q. What are the dimensions of impedance?

[ML2T−3I−2]

[M−1L−2T3I2]

[ML3T−3I−2]

[M−1L−3T3I2]

Impedance has the same dimensions as that of a resistance. Resistance, R= Current I Voltage V​=[I][ML2T−3I−1]​ =[ML2T−3I−2]

$[M L^{2} T^{- 3} I^{- 2}]$

$[M^{- 1} L^{- 2} T^{3} I^{2}]$

$[M L^{3} T^{- 3} I^{- 2}]$

$[M^{- 1} L^{- 3} T^{3} I^{2}]$

Impedance has the same dimensions as that of a resistance.
Resistance, $R = \frac{Voltage V}{Current I} = \frac{[ M L ^{2} T ^{- 3} I ^{- 1} ]}{[ I ]}$
$= [M L^{2} T^{- 3} I^{- 2}]$