Question

Two plates of the same material $R$ and $S$ are in the form of a square and have the same thickness. A side of S is twice the side of R. Compare their resistances. The direction of current is shown by an arrow head.

(a) The resistance of $\mathrm{R}$ is twice that of $\mathrm{S}$
(b) Both have the same resistance
(e) The resistance of $\mathrm{S}$ is four times that of $\mathrm{R}$
(d) The resistance of $\mathrm{R}$ is half to that of $\mathrm{S}$

Answer 1

Hint: The total resistance of the series circuit shall be equal to the sum of each resistance. The voltage is equal to the sum of the individual voltage drops applied to a series circuit. In a simple circuit, one statement of Ohm's law gives the relationship between current I, voltage V, and resistance R to be \[I=\text{ }VR\]. Calculate resistance of R and Q by the formula of the resistance and compare their value .

Complete answer:
A simple circuit is one in which there is a single source of voltage and a single resistance. There is a voltage or IR drop through a resistor caused by the current flowing through it.
In an electrical circuit, resistance is a measure of the opposition to current flow. Ohms are measured as resistance, symbolized by the Greek letter omega,Ohms. For a circuit with \[{{R}_{1}}\] and \[{{R}_{2}}\] resistors in series or parallel. \[{{R}_{ab}}=\text{ }{{R}_{1}}\text{ }+\text{ }{{R}_{2}}\]
Resistance of $\mathrm{R}=\dfrac{\boldsymbol{\rho} \cdot d}{a \cdot t}=\dfrac{\boldsymbol{\rho}}{t}$
Resistance of $\mathrm{Q}=\dfrac{\rho \times 2 a}{2 a \times t}=\dfrac{\rho}{t}$
Both have the same resistance.

The correct option is (B) .

Note:
Some of the electrical energy is converted into heat by resistance, so some electrical energy is lost along the way. It is resistance, however, that enables us to use electricity for heat and light. All modern fixed value resistors can be categorized into four broad groups: Carbon Composition Resistor, low wattage values, made of carbon dust or graphite paste. Film or Cermet Resistor- Very low wattage values made from conductive metal oxide paste.