Following graph was plotted between v and i values


Asked by admin @ in Physics viewed by 290 People


1. Following graph was plotted between V and I values:

What would be the values of V A ratios when the potential difference is 2 V.3 V and 5 Vrespectively? What conclusion do you draw from these values?​

Answered by admin @



\Large\underbrace{\underline{\sf{Understanding\: the\: Question}}}

Here in this question, the main concept of verification of ohm's law is used. We are given a V-I graph and we are asked to find the ratio of V with respect to A. We know that ratio of V and I is resistance so, in simple words we are asked to find value of resistance with particular values of V and I. So firstly we will find the value of I from the graph when the value of V are 2V, 3V and 5V respectively. Then we will find the values of ratio of V and I.

So let's do it!

_____________________________

From graph we obtained:

  • When V is 2v then I is 0.2A

  • When V is 3v then I is 0.3A

  • When V is 5v then I is 0.5A

_____________________________

~Now let's find ratio of V-I for first case (2v,0.2A)

{\mapsto\sf Ratio\:of\:V\!\!-\!I=\dfrac{V}{I}}

\mapsto\sf Ratio\:of\:V\!\!-\!I=\dfrac{2v}{0.2A}

\mapsto\sf Ratio\:of\:V\!\!-\!I=\dfrac{10v}{A}

V/A is equal to R(resistance) so,

\pmb{\mapsto\sf Ratio\:of\:V\!\!-\!I=10R}

_____________________________

~Now let's find ratio of V-I for second case (3v,0.3A)

{\mapsto\sf Ratio\:of\:V\!\!-\!I=\dfrac{V}{I}}

\mapsto\sf Ratio\:of\:V\!\!-\!I=\dfrac{3v}{0.3A}

\mapsto\sf Ratio\:of\:V\!\!-\!I=\dfrac{10v}{A}

V/A is equal to R(resistance) so,

\pmb{\mapsto\sf Ratio\:of\:V\!\!-\!I=10R}

_____________________________

~Now let's find ratio of V-I for third case (5v,0.5A)

\mapsto\sf Ratio\:of\:V\!\!-\!I=\dfrac{V}{I}

\mapsto\sf Ratio\:of\:V\!\!-\!I=\dfrac{5v}{0.5A}

\mapsto\sf Ratio\:of\:V\!\!-\!I=\dfrac{10v}{A}

v/A is equal to R(resistance) so,

\pmb{\mapsto\sf Ratio\:of\:V\!\!-\!I=10R}

_____________________________

We obtained that ratio of V-I is constant for given values of V and I. Graph of V-I is a straight line. So the observation for the given graph is that resistance remains constant for a particular material.

According to ohm's law which is V=IR here R is said to be a constant value which is Verified from our above results. Values of R are coming out to be same. Hence this result verifies ohm's Law.

_____________________________

★ More to know :-

  • Ampere is represented by A

  • Voltage is represented by V

  • Resistance is represented by R

  • Current is represented by I

  • Current is measured by ammeter

  • Voltage is measured by voltmeter

  • S.I. unit of current is ampere

  • S.I. unit of potential difference is voltage

  • Resistance is ratio of voltage and ampere

_____________________________


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