(a) Three resistors R1, R2 and R3 are connected in parallel and the combination is connected to a battery,…
(a) Three resistors R1, R2 and R3 are connected in parallel and the combination is connected to a battery, an ammeter, a voltmeter and a key. Draw suitable circuit diagram to show the arrangement of these circuit components along with the direction of current flowing.
(b) Calculate the equivalent resistance of the following network : [3]
Solution
(a)
[circuit diagram showing three resistors R1-R3 in a bridge-like arrangement with a voltmeter V, battery, key K and ammeter A]
Circuit diagram with given components
Direction
(b) Resistance between C and D is given by
$\dfrac{1}{RCD}$ = 1/10 + 1/10 = 2/10 = 1/5
RCD = 5 Ω
D and B = R4 = 5 Ω
∴ Total resistance is RS = RCD + R1 + R4
Rtotal = 5 Ω + 5 Ω + 5 Ω
= 15 Ω
