Combining Capacitors in Series & Parallel Video Lessons

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Problem: In the circuit of Fig. E26.15, each resistor represents a light bulb. Let R1 = R2 = R3 = R4 = 4.50 Ω and E = 9.00 V. (a) Find the current in each bulb. (b) Find the power dissipated in each bulb. Which bulb or bulbs glow the brightest?

FREE Expert Solution

Equivalent resistance for resistors in parallel:

1Req=1R1+1R2+...+1Rn

Equivalent resistance for resistors in series:

Req=R1+R2+...+Rn

Current:

i=VR

Power:

P=i2R

R2, R3, and R4 are in parallel:

1/R234 = 1/4.50 + 1/4.50 + 1/4.50 = 2/3

R234 = 1.50Ω

R1 and R234 are in series:

Req = R1234 = 4.50 + 1.50 = 6.00 Ω

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Problem Details

In the circuit of Fig. E26.15, each resistor represents a light bulb. Let R1 = R2 = R3 = R4 = 4.50 Ω and E = 9.00 V. 

(a) Find the current in each bulb. 

(b) Find the power dissipated in each bulb. Which bulb or bulbs glow the brightest?

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