Question

Bonjour!



Q. The dimensionally correct expression for resistance R among the following is

[P = electric power, I = electric current, t = time, V = voltage and E = electric current]

(1) R = √(PI)

(2) R = E/I²t

(3) R = V²P

(4) R = VI

*Answer the question with steps*

Answer 1

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Here is your answer ☞
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☆CHECK OPTION [2]
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$(r) = (m \: {l}^{2} \: {t}^{ - 3} \: {a}^{ - 2} ) \\ \\ (v) = (m \: {l}^{2} \: {t}^{ - 3} \: {a}^{ - 1} ) \\ \\ (i) = (a) \\ \\ (f) = (m \: {l}^{2} \: {t}^{ - 2} ) \\ \\ (t) = (t) \\ \\ now \\ \\ r = \frac{e}{ {i}^{2} \times t } \\ \\ l.h.s. = (r) \: (m \: {l}^{2} \: {t}^{ - 3} \: {a}^{ - 2} ) \\ \\ r.h.s. \: = \frac{(m \: {l}^{2} \: {t}^{ - 2} )}{( {a}^{2} )(t)} = (m \: {l}^{2} \: {t}^{ - 3} \: {a}^{ - 2} ) \\ \\ \: \: \: \: \: l.h.s. \: = \: r.h.s \\ \\ then \: your \: answer \: is \: option \: "2$"

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it's not a correct method... but answer is correct
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DEVIL_KING ▄︻̷̿┻̿═━一

Answer 2

Answer:- 2nd option

Explanation:

apply H= I²RT formula

R= H/I²T

R= E/I²t ................( Heat is also an energy)