The electrical resistance of a circuit changes depending on whether the resistors are connected in series or parallel. A circuit connected in parallel is shown below. +O R₁ (10092) R₂ (2009) R3 (30092) Figure 5: Three resistors connected in parallel. For resistors connected in parallel, the total resistance, Rr is: 1 1 1 1 + + RT R₁ R₂ R3 a) Calculate the total resistance, Rr for the circuit shown above. b) The total resistance of 2 parallel resistors is found by evaluating the expression: R₁ R₂ R₁ + R₂ If in this case the total resistance, RTOTAL is 1200 and R₁ is 24092, what will be the value of R₂? RTOTAL =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The electrical resistance of a circuit changes depending on whether the
resistors are connected in series or parallel. A circuit connected in parallel
is shown below.
+O
R₁ (10092)
R₂ (2009)
R3 (30092)
Figure 5: Three resistors connected in parallel.
For resistors connected in parallel, the total resistance, Rr is:
1 1 1 1
+ +
RT R₁ R₂ R3
a) Calculate the total resistance, Rr for the circuit shown above.
b) The total resistance of 2 parallel resistors is found by evaluating
the expression:
R₁ R₂
R₁ + R₂
If in this case the total resistance, RTOTAL is 1200 and R₁ is 24092,
what will be the value of R₂?
RTOTAL =
Transcribed Image Text:The electrical resistance of a circuit changes depending on whether the resistors are connected in series or parallel. A circuit connected in parallel is shown below. +O R₁ (10092) R₂ (2009) R3 (30092) Figure 5: Three resistors connected in parallel. For resistors connected in parallel, the total resistance, Rr is: 1 1 1 1 + + RT R₁ R₂ R3 a) Calculate the total resistance, Rr for the circuit shown above. b) The total resistance of 2 parallel resistors is found by evaluating the expression: R₁ R₂ R₁ + R₂ If in this case the total resistance, RTOTAL is 1200 and R₁ is 24092, what will be the value of R₂? RTOTAL =
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b) If 250 mL of 3% NaCl solution is mixed with 150 mL of 10% NaCl
solution, what is the strength (in % NaCl by volume) of the new
mixture?
Transcribed Image Text:b) If 250 mL of 3% NaCl solution is mixed with 150 mL of 10% NaCl solution, what is the strength (in % NaCl by volume) of the new mixture?
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Follow-up Question
a) A shop sells watermelons each weighing 1 kg. The shop also sells
bags of oranges. If 5 bags of oranges and 2 watermelons weigh
exactly the same as 3 bags of oranges and 8 watermelons, how
much does a single bag of oranges weigh?
b) If 250 mL of 3% NaCl solution is mixed with 150 mL of 10% NaCl
solution, what is the strength (in % NaCl by volume) of the new
mixture?
Transcribed Image Text:a) A shop sells watermelons each weighing 1 kg. The shop also sells bags of oranges. If 5 bags of oranges and 2 watermelons weigh exactly the same as 3 bags of oranges and 8 watermelons, how much does a single bag of oranges weigh? b) If 250 mL of 3% NaCl solution is mixed with 150 mL of 10% NaCl solution, what is the strength (in % NaCl by volume) of the new mixture?
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