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kindly help me in this questiion they have asked us to ind the ratio of the resistance A and B

kindly help me in this questiion
they have asked us to ind the ratio of the resistance A and B
 

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Grade:12

2 Answers

Abc
47 Points
6 years ago
the answer should be 1/3 i.e 0.333. the question can be solved by using Ohm`s law V=IR. => R=V/I . By using the angles provided in the figure, R(A) and R(B) can be found and their ratio as well.
Shreya D Nanda
74 Points
6 years ago
Hi Megha!
By basic math, slope of a line is tan\Theta . For line B \theta=30 \therefore tan30=1/\sqrt{3} . For line A, \theta =90-30=60 \therefore tan60=\sqrt{3}. But from graph tan\theta =I/V = 1/R [ohms law V=IR]. \therefore R_{A}=1/tan30=\sqrt{3} and similarly, \therefore R_{B}=1/tan60=1/\sqrt{3}. Ratio of resistance of A to that of B is, R_{A}/R_{B}= \sqrt{3} \left ( \sqrt{3} \right )=3 \therefore R_{A}:R_{B}=3:1.               
 
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