Question

3. The four resistances in the circuit below are R1 = 22, R2 = 30, R3 = 51 and R4 = 42. The power source has a potential difference of 9V. (a) Find the equivalent resistance of the combination. (b) What is the value of the current I in the circuit? (c) Find the currents in R3 and R. (d) Calculate the power delivered to each resistor in the circuit. R = 24 av R = 6 w Re=3

Answer 1

(a) R and Ry resistons are connected in parallel so the equivalent nesistence of them R' = R3x Ry Ratky 5X4 5+4 = 2.2212 cincuit Now Rio R and Rq are in serien so the equivalent renistance of themire equivalent resistance of the Req = RARAR = 2+2+22+3 Rec = 7.222 2 (6) The value of current in the cinquit I Req 9 7.22 I =1025 A (e) cunment in Rg is Ru J3 R3+Ry V=Sounce roltage gy xI 4 X 1.25 5+4 13=0.56 cument in Ru is In a I- Iz = 1.25-0-56 Ju = 0.69 A (d) Power delivered to Ri resistor is Pi- (1-25) x2 W Pi = 3.13 IZR, 2 CSScanned with CamScanner

P2 Power delirend to Re resiston is IPRA (1-25) x 3 P2 = 4.7 W Power delivend to R nesiston is 2 let Iz R3 (8.56)2x5 P3 =1057 W 2 Power delivered to Run esistor is Py = Jy Ry (0.69)?x4 Py -logw CScanned with CamScanner