Two resistors R1=5 ohm and R2=15 ohm are connected in parallel. If you are not provided with any other parameters (eg. numerical values of I and R), what can be said about the voltage drop across the two resistors?                                                            (OR)Some work is done to move a charge 𝑄=2 C from infinity to a point 𝐴 in space. The potential of the point 𝐴 is given as 𝑉= 3V. What is the work done to move this charge from infinity in terms of 𝑄 and 𝑉?

# Two resistors R1=5 ohm and R2=15 ohm are connected in parallel. If you are not provided with any other parameters (eg. numerical values of I and R), what can be said about the voltage drop across the two resistors?                                                            (OR)Some work is done to move a charge 𝑄=2 C from infinity to a point 𝐴 in space. The potential of the point 𝐴 is given as 𝑉= 3V. What is the work done to move this charge from infinity in terms of 𝑄 and 𝑉?

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### Solution:

Voltage drop is the same across the two resistors.
The voltage drops across any number of resistors or other elements linked in parallel is the same because all elements in a parallel connection are connected between the same two points.

(OR)

The potential of the point 𝐴 is given as 𝑉 = 3𝑉.

Potential difference can be represented as follow:

Therefore, the work done will be equal to the product of potential and charge. The work done to move the charge from infinity is 6𝐽.

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