The current flowing through a conductor connected across a source is 2 A and 1.2 A at and respectively. The current flowing through the conductor at will be _______ . [2023]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
The current flowing through a conductor connected across a source is 2 A and 1.2 A at $0 ° C$ and $100 ° C$ respectively. The current flowing through the conductor at $50 ° C$ will be _______ $\times 10^{2} mA$ . [2023]

Ans.
(15)

$i_{0} R_{0} = i_{100} R_{100} [For same source]$

$\Rightarrow 2 R_{0} = 1.2 R_{0} [1 + 100 α]$ ...(i)

$\Rightarrow 1 + 100 α = \frac{5}{3}$

$\Rightarrow 50 α = \frac{1}{3}$

$∴$ $i_{50} R_{50} = i_{0} R_{0}$

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

$\Rightarrow i_{50} = 15 \times 10^{2} mA$

Want Us to Email you About Special Offers & Updates?