Question

observe the following table and write the current answer.​

Answer 1

$\bigstar\:{\underline{\sf Case\: 1 \: :}}$

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$\sf Given \begin {cases} & \sf { Electric \: current \: = \: 2 A } \\ & \sf{ Potential \: Difference = \: 120 V} \end {cases}$

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$\sf To \: find \begin {cases} & \sf { Resistance \: = \: ?? } \\ \end {cases}$

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Using Ohm's law :-

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$\star\;{\boxed{\sf{\pink{Potential \: Difference ( V ) = Current ( I ) \times Resistance ( R ) }}}}$

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$:\implies\sf 120 = 2 \times R$

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$:\implies\sf R = \dfrac{120}{2}$

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$:\implies \sf R = 60 Ω$

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$:\implies{\underline{\boxed{\frak{\purple{ Resistance = 60 \: Ω }}}}}\;\bigstar$

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$\bigstar\:{\underline{\sf Case\: 2 \: :}}$

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$\sf Given \begin {cases} & \sf { Electric \: current \: = \: 1.5 A } \\ & \sf{ Resistance = \: 60 Ω} \end {cases}$

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$\sf To \: find \begin {cases} & \sf { Potential \: Difference \: = \: ?? } \\ \end {cases}$

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Using Ohm's law :-

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$\star\;{\boxed{\sf{\pink{Potential \: Difference ( V ) = Current ( I ) \times Resistance ( R ) }}}}$

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$:\implies\sf V = 1.5 \times 60$

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$:\implies\sf V = 90.0 volt$

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$:\implies \sf V = 90 V$

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$:\implies{\underline{\boxed{\frak{\purple{ Potential \: difference = 90 V }}}}}\;\bigstar$

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$\bigstar\:{\underline{\sf Case\: 3 \: :}}$

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$\sf Given \begin {cases} & \sf { Resistance \: = \: 60\: Ω } \\ & \sf{ Potential \: Difference = \: 60 V} \end {cases}$

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$\sf To \: find \begin {cases} & \sf { Current \: = \: ?? } \\ \end {cases}$

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Using Ohm's law :-

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$\star\;{\boxed{\sf{\pink{Potential \: Difference ( V ) = Current ( I ) \times Resistance ( R ) }}}}$

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$:\implies\sf 60 = I \times 60$

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$:\implies\sf I = \dfrac{60}{60}$

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$:\implies \sf I = 1 ampere$

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$:\implies{\underline{\boxed{\frak{\purple{ Current \: = 1\: ampere \: }}}}}\;\bigstar$

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$\: \: \: \: \: {\boxed{\underline{\underline{\sf{\pink{ More \: about \: \bf{ohm's \: law \: }} }}}}} \: \: \: \: \:$

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Q :- What is Ohm's law ??

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• Ohm's law states that at constant temperature the current flowing through a conductor is directly proportional to the potential difference across it's end .

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Q :- Define 1 ohm ??

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• The resistance of a conductor is said to be 1 ohm when on applying potential difference of 1 volt across its ends 1 ampere current flows through it .