Question

the potential difference between A and B is ​

Answer 1

Answer:

is this the volts symbol in 2V??

Answer 2

Answer:

Concept:

The quantity of current multiplied by the resistance equals the potential difference, which is the same as voltage. One Coulomb of charge uses one Joule of energy to move between two locations in a circuit, which is equal to a potential difference of one Volt.

Explanation:

• By ohm's law,  $V=IR$  where

                                $I$ ⇒ current

                               $R$ ⇒ resistance

                                $V$ ⇒ voltage

From A to B, there are 3 resistors each with voltages $2V$ , $3V$ and $4V$ with current  $1 \Omega$ through each resistor.

• $V_{eff}$ can be found by

                                  $V_{eff} =(2 \times 1) + (3\times 1)+(4\times 1)$

                                             $=2+3+4$

                                             $9 V$

• $I_{eff} = 1+1+1$                      

                $=3 \Omega$

Since there is no current through resistors,

Potential difference across $AB$ can be given by,

        $V=\frac{\frac{E1}{r1} +\frac{E2}{r2} +\frac{E3}{r3} }{r1+r2+r3}$

            $=\frac{\frac{2}{1}+\frac{3}{1} +\frac{4}{1} }{1+1+1}$

             $=\frac{9}{3}$

           $V=3 V$

Hence, potential difference between points $A$ and $B$ is $3V$                                      

                       

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