The current flowing through a conductor connected across a source is 2   A and 1 . 2   A at 0 o C and 100 o C respectively. The current flowing through the conductor at 50 o C will be _____ ×   10 2   mA .

Question

The current flowing through a conductor connected across a source is 2 &#160; A and 1 . 2 &#160; A at 0 o C and 100 o C respectively. The current flowing through the conductor at 50 o C will be _____ &#215; &#160; 10 2 &#160; mA .

Aicharya · Accepted Answer

By Ohm's law, $V=IR$. Let the current and resistance at $0^{\circ}C$ be $i_0$ and $R_0$ respectively. Let the current and resistance at $100^{\circ}C$ be $i_{100}$ and $R_{100}$ respectively.

By the given condition,

$i_{0} R_{0} = i_{100} R_{100} \Rightarrow 2 R_{0} = 1.2 R_{0} (1 + 100 α) \Rightarrow 1 + 100 α = \frac{5}{3} \Rightarrow 50 α = \frac{1}{3}$

Since the voltage remains constant,

$i_{50} R_{50} = i_{0} R_{0} \Rightarrow i_{50} = \frac{i_{0} R_{0}}{R_{50}} = \frac{2 \times R_{0}}{R_{0} (1 + 50 α)} = \frac{2}{1 + \frac{1}{3}} = 1.5 A \Rightarrow i_{50} = 15 \times 10^{2} mA$

The current flowing through a conductor connected across a source is 2   A and 1 . 2   A at 0 o C…

Solution

The current flowing through a conductor connected across a source is 2 &#160; A and 1 . 2 &#160; A at 0 o C…

Solution

The current flowing through a conductor connected across a source is 2 A and 1 . 2 A at 0 o C…