The electric resistance of medium depends upon permeability and permittivity as given below . If The value of N is

Question

The electric resistance of medium depends upon permeability $(μ)$ and permittivity $(ε)$ as given below $R \propto {(μ)}^{a} {(ε)}^{b}$ . If $a - b = N$ . The value of N is ...........

Smart Achievers · Accepted Answer

(1)

$M L^{2} T^{- 3} A^{- 2} = {[M L T^{- 2} A^{- 2}]}^{a} {[M^{- 1} L^{- 3} T^{4} A^{2}]}^{b}$

$a - b = 1$

$a - 3 b = 2$

$a = \frac{1}{2}, b = - \frac{1}{2}$

Solution

Q.
The electric resistance of medium depends upon permeability $(μ)$ and permittivity $(ε)$ as given below $R \propto {(μ)}^{a} {(ε)}^{b}$ . If $a - b = N$ . The value of N is ...........

Ans.
(1)

$M L^{2} T^{- 3} A^{- 2} = {[M L T^{- 2} A^{- 2}]}^{a} {[M^{- 1} L^{- 3} T^{4} A^{2}]}^{b}$

$a - b = 1$

$a - 3 b = 2$

$a = \frac{1}{2}, b = - \frac{1}{2}$

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Solution

Q. The electric resistance of medium depends upon permeability (μ) and permittivity (ε) as given below R∝(μ)a(ε)b. If a-b=N. The value of N is ...........

Ans. (1) ML2T-3A-2=[MLT-2A-2]a[M-1L-3T4A2]b a-b=1 a-3b=2 a=12, b=-12

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Q.
The electric resistance of medium depends upon permeability $(μ)$ and permittivity $(ε)$ as given below $R \propto {(μ)}^{a} {(ε)}^{b}$ . If $a - b = N$ . The value of N is ...........

Ans.
(1)

$M L^{2} T^{- 3} A^{- 2} = {[M L T^{- 2} A^{- 2}]}^{a} {[M^{- 1} L^{- 3} T^{4} A^{2}]}^{b}$

$a - b = 1$

$a - 3 b = 2$

$a = \frac{1}{2}, b = - \frac{1}{2}$