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In the series circuit, if the potential difference across the battery is 20 V and the potential difference across R1 is 12 V, what is the potential difference across R2

Sagot :

Answer:

The correct answer is "8 V".

Explanation:

Given:

Potential difference across battery,

= 20 V

Potential difference across R1,

= 12 V

Now,

On applying the Kirchorff loop, we get

⇒ [tex]E-I_1R_1-I_2R_2=0[/tex]

⇒ [tex]E-V_1-V_2=0[/tex]

⇒ [tex]V_2=E-V_1[/tex]

On putting values, we get

⇒      [tex]=20-12[/tex]

⇒      [tex]= 8 \ V[/tex]  

The potential difference across the resistance R2 will be "8 Volts.

What is Kirchoff;s law?

According to the kirchoff's law in a loop of a circuit when there are number of the resistances so the sum of all the potential differences will be zero.

It is given that:

Potential difference across battery,= 20 V

Potential difference across R1,= 12 V

Now,

On applying the Kirchorff loop, we get

⇒ [tex]\rm E-I_1R_1-I_2R_2=0[/tex]

⇒ [tex]\rm E-V_1-V_2=0[/tex]

⇒ [tex]\rm V_2=E-V_1[/tex]

On putting values, we get

⇒ [tex]V_2=20-12=8\ volt[/tex]

Hence the potential difference across the resistance R2 will be "8 Volts.      

To know more about Kirchoff's law follow

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