Suppose all bulbs (resistors) have a resistance of 10 Ohms and V=30 Volts. (a) R

Question

Suppose all bulbs (resistors) have a resistance of 10 Ohms and V=30 Volts.

(a) Rank the R(eq) of the above circuits from greatest to least.

(b) In circuit B, is the bulb R(1) brighter, dimmer, or the same brightness as R(4)?

(c) In circuit B, if we removed R(3) from the circuit, would R(1) become brighter, dimmer, or no change?

(d) If you have 3 identical resistors, sketch how you would hook them up to a battery so that they are all as bright as possible.

(e) Now suppose the resistance of the bulbs in circuit A are R(1)=1 Ohm, R(2)=12 Ohm, and R(3)=6 Ohm. What is the luminosity (in Watts) of bulb R(3) in circuit A?

Rank the R(eq) of the above circuits from greatest to least. In circuit B, is the bulb R(1) brighter, dimmer, or the same brightness as R(4)? In circuit B, if we removed R(3) from the circuit, would R(1) become brighter, dimmer, or no change? If you have 3 identical resistors, sketch how you would hook them up to a battery so that they are all as bright as possible. Now suppose the resistance of the bulbs in circuit A are R(1)=1 Ohm, R(2)=12 Ohm, and R(3)=6 Ohm. What is the luminosity (in Watts) of bulb R(3) in circuit A?

Explanation / Answer

a) A . R1 > R3 = R2

B R1 = R4 > R2 =R3

C. R1 = R2 = R3

b) same

c) dimmer

d) in parrallel

e) W = Ri^2

Req = 1 + (12x6 / 12+6) = 5 ohm

I = V/R = 6 A

through R3   = 6 x 12 / 18 = 5 ohm

W = 6 x 5^2 = 150

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