NCERT Solution for Class 10 Science Chapter 12
Electricity
NCERT Books for Session 2022-2023
CBSE Board and UP Board
Intext Questions
Page No-209
Questions No-2
Will current flow more easily through a thick wire or a thin wire of the same material, when connected to the same source? Why?
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Resistance (R) is inversely proportional to the area of cross-section (A) of the wire. So, thicker the wire, lower is the resistance of the wire and vice-versa. Therefore, current can flow more easily through a thick wire than a thin wire.
𝑅=𝜌𝐿/𝐴 ⇒𝑅 ∝1 /𝐴
The current will flow more easily through a thick wire than a thin wire of the same material. Larger the area of cross-section of a conductor, more is the ease with which the electrons can move through the conductor. Therefore, smaller is the resistance of the conductor.
Since, resistance is indirectly proportional to the area of cross section, thus current flows easily through a thick wire compared to a thin wire of the same material.
The current flows more easily through a thick wire as compared to a thin wire of the same material, when connected to the same source. It is due to the reason that resistance of a thick wire is less than that of a thin wire.
Current will flow more easily through a thick wire compared to a thin wire of the same material when connected to the same source. This is due to the relationship between resistance, current, and the dimensions of the conductor.
According to Ohm’s Law ( R = V/I ), the resistance (R) of a conductor is inversely proportional to its cross-sectional area (A), given a constant resistivity (ρ) and length (L). The formula for resistance is:
R =ρ L/A
Here:
» R is resistance,
» ρ is the resistivity of the material,
» L is the length of the conductor, and
» A is the cross-sectional area.
Since resistance is inversely proportional to the cross-sectional area (A), a thicker wire with a larger cross-sectional area will have lower resistance compared to a thinner wire of the same material and length.
Lower resistance means that the wire offers less opposition to the flow of electric current. Therefore, current will flow more easily through the thicker wire, and it will experience less voltage drop along its length. This is why thicker wires are often used for applications where low resistance and efficient current flow are important, such as in power transmission lines.