Under what condition is the current drawn in a circuit maximum?
Answer
571.8k+ views
Hint:To answer this question we will first try to know what the terms resistance and current mean. Then we will answer this question by applying a formula that relates resistance, length of conductor, area of cross section of conductor .
Formula Used:
\[R = \rho \dfrac{l}{A}\]
Where:
R=resistance
L=length of wire
A= area of wire
\[\rho \]=resistivity of conductor
Complete step-by-step solution:
Let us now first understand what is current:
A flow of electrical charge carriers, usually electrons or electron-deficient atoms, is referred to as current. The uppercase letter I is a standard sign for current. The ampere, represented as A, is the standard unit. One coulomb of electrical charge (\[6.24 \times {10^{18}}\]charge carriers) travelling past a place in one second is represented by one ampere of current.
Now we will know what resistance is:
In an electrical circuit, resistance is a measure of the resistance to current flow.
The Greek letter omega (\[\Omega \]) is used to represent resistance in ohms.
When maximum current is drawn, the conducting wire rating rises, resulting in lower resistance.
Using the above mentioned formula we get:
\[R = \rho \dfrac{l}{A}\]. Hence As a result, as the cross-sectional area grows, resistance reduces, allowing more current to flow.
Note:Another way to understand the way of answering this question is using ohm’s law, we know that by ohm's law we can write: \[V = IR\] or \[I = \dfrac{V}{R}\]. Hence we know that current will increase when the resistance will decrease. Hence to obtain maximum current in a circuit the resistance should be minimum.
Formula Used:
\[R = \rho \dfrac{l}{A}\]
Where:
R=resistance
L=length of wire
A= area of wire
\[\rho \]=resistivity of conductor
Complete step-by-step solution:
Let us now first understand what is current:
A flow of electrical charge carriers, usually electrons or electron-deficient atoms, is referred to as current. The uppercase letter I is a standard sign for current. The ampere, represented as A, is the standard unit. One coulomb of electrical charge (\[6.24 \times {10^{18}}\]charge carriers) travelling past a place in one second is represented by one ampere of current.
Now we will know what resistance is:
In an electrical circuit, resistance is a measure of the resistance to current flow.
The Greek letter omega (\[\Omega \]) is used to represent resistance in ohms.
When maximum current is drawn, the conducting wire rating rises, resulting in lower resistance.
Using the above mentioned formula we get:
\[R = \rho \dfrac{l}{A}\]. Hence As a result, as the cross-sectional area grows, resistance reduces, allowing more current to flow.
Note:Another way to understand the way of answering this question is using ohm’s law, we know that by ohm's law we can write: \[V = IR\] or \[I = \dfrac{V}{R}\]. Hence we know that current will increase when the resistance will decrease. Hence to obtain maximum current in a circuit the resistance should be minimum.
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