B₁ B3 B2 2 Figure 1 3 3 B2 B₁ 2 B3 Figure 2 2 B₁ B2 B3 3 5 Figure 3 1. Choosing from figures 1, 2, and 3 above, in which case will bulb B₁ be the dimmest if all the bulbs and batteries in all the circuits are identical? 2. Focusing on Figure 2, if all the bulbs are identical, how does V12, the potential difference between points 1 and 2, compare to V23, the potential difference between points 2 and 3? a) V12 < V23 b) V12 > V23 c) V12 = V23 3. Assuming an ideal battery and that all the bulbs and batteries in all the circuits are identical, in which of the circuits above does the battery supply the greatest current? 4. In the circuit to the right, the bat- = tery is 12 V, R₁ 602, R2 = 120, and R3 = 80. Find the voltage drop across each resistor, the current through each resistor, and the power provided by the battery to run the circuit. R₁ R₂ w R3 14 11 5. What would the cross-sectional area need to be for copper wire (conductivity = 5.9 × 107 (m)-1) in order to create a 100 2 resistor using a 100 m length of wire? 6. In class we discussed a "knight and barn" problem where the knight held a 20 m long lance and the barn was 12 m long. We found that the lance would momentarily fit inside the barn if the speed of the knight was ẞ = 0.8. (a) Show that length contraction does indeed predict that the lance will be measured to be 12 m long by observers at rest relative to the barn. (b) Determine the length of the barn as measured by the knight.

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Chapter1: Units, Trigonometry. And Vectors
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B₁
B3
B2
2
Figure 1
3
3
B2
B₁
2
B3
Figure 2
2
B₁
B2
B3
3
5
Figure 3
1. Choosing from figures 1, 2, and 3 above, in which case will bulb B₁ be the dimmest if all the
bulbs and batteries in all the circuits are identical?
2. Focusing on Figure 2, if all the bulbs are identical, how does V12, the potential difference
between points 1 and 2, compare to V23, the potential difference between points 2 and 3?
a) V12 < V23
b) V12 > V23
c) V12 = V23
3. Assuming an ideal battery and that all the bulbs and batteries in all the circuits are identical,
in which of the circuits above does the battery supply the greatest current?
4.
In the circuit to the right, the bat-
=
tery is 12 V, R₁ 602, R2 = 120, and
R3 = 80. Find the voltage drop across each
resistor, the current through each resistor, and
the power provided by the battery to run the
circuit.
R₁
R₂
w
R3
14 11
5. What would the cross-sectional area need to be for copper wire (conductivity = 5.9 × 107 (m)-1)
in order to create a 100 2 resistor using a 100 m length of wire?
6. In class we discussed a "knight and barn" problem where the knight held a 20 m long lance
and the barn was 12 m long. We found that the lance would momentarily fit inside the barn
if the speed of the knight was ẞ = 0.8.
(a) Show that length contraction does indeed predict that the lance will be measured to be
12 m long by observers at rest relative to the barn.
(b) Determine the length of the barn as measured by the knight.
Transcribed Image Text:B₁ B3 B2 2 Figure 1 3 3 B2 B₁ 2 B3 Figure 2 2 B₁ B2 B3 3 5 Figure 3 1. Choosing from figures 1, 2, and 3 above, in which case will bulb B₁ be the dimmest if all the bulbs and batteries in all the circuits are identical? 2. Focusing on Figure 2, if all the bulbs are identical, how does V12, the potential difference between points 1 and 2, compare to V23, the potential difference between points 2 and 3? a) V12 < V23 b) V12 > V23 c) V12 = V23 3. Assuming an ideal battery and that all the bulbs and batteries in all the circuits are identical, in which of the circuits above does the battery supply the greatest current? 4. In the circuit to the right, the bat- = tery is 12 V, R₁ 602, R2 = 120, and R3 = 80. Find the voltage drop across each resistor, the current through each resistor, and the power provided by the battery to run the circuit. R₁ R₂ w R3 14 11 5. What would the cross-sectional area need to be for copper wire (conductivity = 5.9 × 107 (m)-1) in order to create a 100 2 resistor using a 100 m length of wire? 6. In class we discussed a "knight and barn" problem where the knight held a 20 m long lance and the barn was 12 m long. We found that the lance would momentarily fit inside the barn if the speed of the knight was ẞ = 0.8. (a) Show that length contraction does indeed predict that the lance will be measured to be 12 m long by observers at rest relative to the barn. (b) Determine the length of the barn as measured by the knight.
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