Question

Find the average resistance if volts is 4 and amp is 9.

Answer 1

Solution :—

Given :-

• Volt (V) = 4
• Ampere (I) = 9

To Find :-

• Average Resistance (R)

Formula Used :-

• Resistance (R) = Volt (V) / Ampere (I)

Therefore,

R = 4/9

Thus, the average resistance is 4/9

Answer 2

Question from chapter “Electricity”.

$\huge\rm\red { Question-}$

Find the average resistance if volts is 4 and amp is 9.

How to solve?

• Here, we are given that the current flowing is 9 Ampere or in other words Ampere is 9 and Volt is 4.
• So, we can apply here the formula of ohm's law which is || V = IR || and can find the average resistance.
• Let's solve‼

$\huge\rm\blue { Solution-}$

Given-

• $\sf\pink { V ( volt ) = 4 }$

• $\sf\pink { I ( Current ) = 9A}$

Thus,

• $\sf\pink { I ( Ampere ) = 9}$

We have to find-

• $\sf\blue { R (average \: resistance) }$

Calculation-

We know that,

${\huge {\boxed {\tt { V = IR } }}}$

Where,

• $\sf { V = volt = 4 }$
• $\sf { I = Current= 9A}$
• $\sf { R = Resistance = ? }$

Now, put the values according to the formula-

${\qquad {\underline {\underline {\rm {\red { V = IR }}}}}}$

$\sf { \qquad \leadsto 4 = 9 \times R }$

$\sf { \qquad \leadsto 4 = 9R }$

$\sf \red { \qquad \leadsto R = \dfrac{4}{9} Ω}$

$\therefore$ The average resistance is 4/9 Ω.

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Additional Information-

Some important formulae-

• $\sf { I = \dfrac{Q}{T} }$

• $\sf { V = \dfrac{W}{Q} }$

• $\sf { V= IR }$ [ Ohm's law ]

• $\sf { R = ρ \dfrac{L}{A} }$

• $\sf { R_s = R_1 + R_2 + R_3.........}$

• $\sf {\dfrac{1}{ R_p }= \dfrac{1}{ R_1 } + \dfrac{1}{ R_2 }+ \dfrac{1}{ R_3 }.........}$

Here,

☂ Q is charge and its SI unit is Coulomb ( C ).

☂ I is current and its SI unit is Ampere ( A ).

☂ T is time and its SI unit is second ( S ).

☂ V is potential difference and its SI unit is Volt ( V ).

☂ W is work done and its SI unit is Joule ( J ).

☂ R is resistance and its SI unit is Ohm ( Ω ).

☂ ρ is resistivity and its SI unit is Ωm.

☂ L is length and its SI unit is m.

☂ A is cross sectional area and its SI unit is $\rm{ {m}^{2} }$.

☂ $\sf { R_s }$ is resistance in series combination.

☂$\sf { R_p }$ is resistance in parallel combination.

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