Advertisements
Advertisements
Question
Calculate equivalent resistance in the following cases:
Advertisements
Solution
(i) Resistance P and Q are in series = 3 Ω + 3 Ω = 6 Ω
Resistance of 6 Ω segment and 3 Ω are parallel.
∴ `1/"R" = 1/6 + 1/3 = (1 + 2)/6 = 3/6` or R = 2Ω
(ii) Resistance of the arm PS = 2Ω +2Ω = 4Ω (in series)
Resistance of the arm QR = 2Ω + 2Ω = 4Ω (in series)
Resistance of the arm PQ, QR and RS are in series
= (4 + 4 + 4)Ω = 12Ω
Now resistance of the arm RS and arms (PQ + QR + RS) are in parallel.
`1/"R" = 1/4 + 1/12`
`= (3 + 1)/12 = 4/12`
or R = 3Ω
APPEARS IN
RELATED QUESTIONS
Differentiate between resistances in series and parallel.
Which of the following arrangement, A or B, has the lower combined resistance?
A wire that has resistance R is cut into two equal pieces. The two parts are joined in parallel. What is the resistance of the combination?
State how are the two resistors joined with a battery when potential difference is same across each resistor.
In parallel combination of resistances ______.
A combination consists of three resistors in series. Four similar sets are connected in parallel. If the resistance of each resistor is 2 ohm, find the resistance of the combination.
A battery of e.m.f. 15 V and internal resistance 2 `Omega` is connected to tvvo resistors of 4 ohm and 6 ohm joined.
(i) In series,
(ii) In para 1 lel. Find in each case the electrica I energy spent per minute in 6 ohm resistor.
Tick (✓) the correct choice among the following :
Consider two cases of two parallel current carrying conductors. Current in
th e same direction and currents in th e opposi te directions will produce
What connection is used in domestic appliances and why?
A piece of wire of resistance R is cut into three equal parts. These parts are then connected in parallel. If the equivalent resistance of this parallel combination is R1, what is the value of the ratio R1 : R?
