EM -110 A model for circuits Part 2: Potential difference 4. The bulbs in the ci
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EM -110 A model for circuits Part 2: Potential difference 4. The bulbs in the circuit shown are identical. Treat the battery as ideal in answering all the questions. a. Rank bulbs 1-6 according to brightness, from brightest to dimmest Explain your reasoning b. Rank the voltages across the bulbs in order from greatest to smallest. Explain your reasoning. Write an equation that relates the voltage across bulbs 3.5, and 6 to the battery voltage. c. bulb d. Bulb I is removed from its socket. i. Does the brighessfblb 2 icrease, decrease, of remain the same? Explain. clecrtoses. Tr toct it does rot 5% Does the brightness of bulb 6 increase, decrease, or remain the same? Esplain. Decvease You vemove d esistance ii. in ParalkI so ii. Does the brightness of bulb 3 increase, decrease, or remain the same? Explain. Tudorials in Iatroductory Physics Pearson Custom I hlishiExplanation / Answer
(a) The requisite ranking in order of brightness is -
6 > 3 > 4 = 5 > 2 = 1
Maximum current will flow towards bulb -6.
Bightness is prportional to wattage which is I^2*R
Consider the combination of bulb, 1,2 and 3.
current will be higher in bulb 3 because it is in parallel with 1 and 2.
4 and 5 are in parallel, so current in it are equal.
(b) Voltage has the same ranking as wattage, because it is also proportional to the current.
V = I*R
So, the requisite ranking -
6 > 3 > 4 = 5 > 2 = 1
(c) Voltage across the battery = V
So, V = V3 + V5 + V6
where, V3, V5 and V6 are the the voltage across the battery 3,5 and 6.
(d) (i) bulb-1 is removed, then brightness of 2 will increase, because current through it will increase.
(ii) Bightness of 6 will decrease because overall resistance will increase.
(iii) Bightness of 3 will decrease, because current through it will decrease.
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