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5. The figure shows two light bulbs connected to a battery of emf 1. The power d

ID: 1788508 • Letter: 5

Question

5. The figure shows two light bulbs connected to a battery of emf 1. The power delivered to these light bulbs is 30 W and 60 W as shown. Which statement about the currents lf and ld through the light bulbs is correct? 60 1 E. No conclusion about the currents is possible without the values of the resistances of the light bulbs. 6. The electric potential in a region between x-0 and x -6.00 m is a hr,where a 12.0 V and-5.00 Vi The force exerted on a charge q-0.60 C placed at -0.80 m is A -169 x 10N B -3.06x 10*N C. -2.10×10-3 N D. +4.8×104 N E. +12x 10 N 7. The switch S in the figure below is closed for a period of time that is long enough to ensure that the capacitor is fully charged I R-15.0 k2, what is the potential difference across the capacitor? A 90 V B 5.0V C. 30v D. 60V E 7.5 V 12.ou 9.00 V s. Io the cicuit shown, R-600 a C- 10andticena resisans of hebanny All five capacitors are initially uncharged. The total charge stored in the circuit after 15 s is A. 7.1 x 10 c B. 94 x 10*c C. 3.8 x 10c D. 6.5 × 10-6 c E. 2.2x 10 c

Explanation / Answer

5. power of light bulbs = 30W and 60 W

potnetial difference = dV

now, Power P = dV*I

as dV is same for both the bulbs

Icd = 2*Ief

Ief = 0.5Icd

hence

option A

6. x = 0, x = 6m

V = a + bx^2

-dV/dx = -2bx

b = -5

hence

E = -dV/dx = 10x

so force on q= 0.6 micro C

at x = 0.8 m is

F = qE = 0.6 micro * 10*0.8 = 4.8 micro N

hence option D

7. for fully charged capacitor

R = 15,000 ohm

potential diff across capacitor = R*9/(12,000 + R)

V = 9*15/(12 + 15) = 5 V

option B

8. R = 600 ohm

C = 100 micro F

dV = 12 V

Ceff = 5C = 500 micro F

Reff = 5R = 3000 ohm

charging equation

q = qo*(1 - e^(-t/RC))

qo = Ceff*V = 500*10^-6*12 = 0.006 C

hence

q = 0.006(1 - e^(-1.5/500*3000*10^-6)) = 0.003792 C

hence option C

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