ing and units. Answers without work will be given a zero. Work without units wil

Question

ing and units. Answers without work will be given a zero. Work without units will suffer a 1 point deduction per problem. Assuming the potential difference between points a and b is 100V. Using the circuit provided calculate: The equivalent capacitance the total charge the charge on each capacitor (recreate the topic below in your blue book, and or stale all assumptions) Assume the potential difference between points a and b is 10V, the equivalent resistance the total current an unknown piece of material has a resistivity of p = 3.50 times 10^s Ohm m and temperature coefficient of alpha = 0.0025 C^0-1 at T = 30 C degree. If the material's cross sectional area has a diameter of 20 cm and is 0.9 cm long, calculate: a. The resistance of the material at T = 80 C degree the current in the material at T = 80 C degree if a 0.001 V potential is placed across it. The power associated with the material at T = 80 C degree.

Explanation / Answer

2.

4 and 6 ohm are in series and their combination is given as

R46 = 4 + 6 = 10 ohm

9 ohm, 8 ohm and R46 are in parallel and their combination is given as

1/R9846 = 1/9 + 1/8 + 1/R46

1/R9846 = 1/9 + 1/8 + 1/10

R9846 = 2.98 ohm

R9846 and 3 ohm are in series and their combination is given as

Rs = R9846 + 3 = 2.98 + 3 = 5.98 ohm

Rs and 20 ohm are in parallel and their combination is given as

Rp = Rs 20 /(Rs + 20) = 5.98 x 20 /(5.98 + 20) = 4.6 ohm

hence equivalent resistance = Re = 4.6 ohm

b)

using ohm;s law

i = total current = Vab /Re = 10/4.6 = 2.2 A

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