The diagram below shows the arrangement of five different resistances connected to a battery of e.m.f. 1.8 V. Calculate:
(a) the total resistance fo the circuit, and
(b) the reading of ammeter A.

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Solution

(a)
In the figure above, let the resistance between X and Y be $R_{X Y}$ .

$T h e n space comma space 1 over R subscript x y end subscript equals 1 over 10 plus 1 over 40 equals fraction numerator 4 plus 1 over denominator 40 end fraction equals 5 over 40 o h m o r space R subscript X Y end subscript equals 40 over 5 equals 8 space o h m L e t space R subscript A B end subscript space b e space t h e space n e t space r e s i s t e n c e space b e t w e e n space p o i n t s space A space a n d space B T h e n comma space 1 over R subscript A B end subscript equals 1 over 30 plus 1 over 20 plus 1 over 60 equals fraction numerator 2 plus 3 plus 1 over denominator 60 end fraction equals fraction numerator 6 over denominator 60 space end fraction o r space R subscript A B end subscript equals 60 over 6 equals 10 space o h m T o t a l space r e s i s tan c e space o f space t h e space c i r c u i t space equals 8 plus 10 equals 18 space o h m left parenthesis b right parenthesis u r r e n t space comma space I equals fraction numerator V o l t a g e over denominator T o t a l space r e s i s tan c e end fraction equals fraction numerator 1.8 over denominator 18 end fraction equals 0.1 space A T h u s space 0.1 A space s h a l l space b e space t h e space r e a d i n g space o f space t h e space d i a m e t e r$

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The diagram below shows the arrangement of five different resistances connected to a battery of e.m.f. 1.8 V. Calculate: (a) the total resistance fo the circuit, and (b) the reading of ammeter A.

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The diagram below shows the arrangement of five different resistances connected to a battery of e.m.f. 1.8 V. Calculate:
(a) the total resistance fo the circuit, and
(b) the reading of ammeter A.