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The effective resistance of Bulbs A and B in (a) is greater than the effective r

ID: 2119195 • Letter: T

Question

The effective resistance of Bulbs A and B in (a) is greater than the effective resistance of Bulbs A, B, and C in (b) The resistance of Bulb A is greater than the effective resistance of Bulbs B and C in (b) Bulb A is in parallel with Bulb B in (a) The effective resistance of Bulbs A and B in (a) is equal to the effective resistance of Bulbs A, B, and C in (b) In (b) Bulb A is in neither series or parallel with Bulb B The effective resistance of Bulbs A and B in (a) is less than the effective resistance of Bulbs A, B, and C in (b) Bulbs B and C are connected in series in (b) Bulb A is in series with Bulb B in (a) Bulb B is in parallel with Bulb C in (b) In (b) Bulb A is in series with Bulb B Bulb A is brighter than Bulb B in (a) In (b) Bulb A is in parallel with Bulb B In the figure to the right, all bulbs and batteries are ideal and identical. Which of the following statement(s) is (are) correct? [Select all that are correct]




Explanation / Answer

Let he resitance of bulbs

A = B = C = R

In (a)

A and B are in series connection

Reffective = A + B

Reffective = R + R

Reffective = 2R

In (b)

B and C are in parallel connection

REffective = A + RP

1/RP = 1/ B + 1/C

1/RP = B+C/BC

RP = BC/B+C

RP = R xR / R+ R

Rp = R/2

A and RP  are in series connection so

REffective = A + RP

REffective = R + R/2

REffective = 3R/2

The effective resistance of Bulbs A and B in (a) is greater than the effective resistance of Bulbs A, B, and C in (b) - True 2R > 3R/2

The resistance of Bulb A is greater than the effective resistance of Bulbs B and C in (b) - True R > R/2

Bulb A is in parallel with Bulb B in (a) - False

The effective resistance of Bulbs A and B in (a) is equal to the effective resistance of Bulbs A, B, and C in (b) - False

In (b) Bulb A is in neither series or parallel with Bulb B - True A is connected to RP

The effective resistance of Bulbs A and B in (a) is less than the effective resistance of Bulbs A, B, and C in (b) - False

Bulbs B and C are connected in series in (b) - False

Bulb A is in series with Bulb B in (a) - True

Bulb B is in parallel with Bulb C in (b) - True

In (b) Bulb A is in series with Bulb B - False

Bulb A is brighter than Bulb B in (a) - False same amount of current flows through A and B since A = B = R

In (b) Bulb A is in parallel with Bulb B False

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