A Voltage Across a Series Resistor Circuit is Proportional to

Answer: B.The value of resistance itself

The voltage across a series resistance circuit is proportional to the value of resistance itself.

Solution:

Resistors are said to be connected in series when the finishing end of one resistor is connected to starting end of another conductor. A series resistor circuit is shown below.

According to ohm’s law voltage across resistor V=I.R,

Where,

I = current passing through the resistor,

R = resistance of the resistor.

In a series connected circuit through all the resistors the same current will flow, in above we can observe that current ‘I’ is flowing through all the resistors.

By applying ohm’s law to each resistor, we can say that

V₁=I.R₁, V₂=I.R₂

By applying KVL among the loop, which is shown below.

 

-V+V₁+V₂=0

V=V₁+V₂=I(R₁+R₂)

I=V/(R₁+R₂)

As the current I which is flowing through both resistors is same, the voltage across a resistor of a series resistor circuit will depend on the resistance of that resistor itself. Higher the value of the resistance compared to other resistors connected in series higher the voltage drop across that resistor.

The voltage across a series resistance circuit is proportional to the value of resistance itself.

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