Kirkhoff’s Law & Work Rates (2 different speeds) What is the meaning of Kirkhoff
ID: 3186363 • Letter: K
Question
Kirkhoff’s Law & Work Rates (2 different speeds)What is the meaning of Kirkhoff’s Law?
What is “reduction” and how is it related to Algebra? An example of reduction is: 3 (reduction symbol) 6 = 2. Wouldn’t I just divide 3/6 and this just becomes 1/2 instead of 2?
If x, y and z are parallel, then The "Many Hands" Theorem: If rit rt -d, then: (ri-r2) (tiet) d/ (ti-tz)(rer2) when rates add, times reduce: and when rates In a rate-time problem, subtract, times protract. "Many hands make light work." and Bob can trim the then if they work together, and if their work rates add, If Alice can trim the hedges in A hours of work, hedges in B hours, then they will finish the job in AeB hours. hips cross the same ocean, starting at the same time and heading r's home port. Let F be the time that the first ship took to A to port B, let S be the time that the second ship took to go Two s for each othe go from port from port B to port A, and let M be the time it took for them to meet in mid-ocean. Approach-rates add, so times reduce: M equals F es. Two racecars, when driving towards each other from a distance of a mile, pass each other in P seconds: when the faster car pursues the slower car from one mile behind, it takes C seconds to catch up. How quickly does each car run a mile? Answer: Respectively, 2 (Pec) and 2 (Pec) seconds. If you drive a mile at velocity vi, and then another mile at velocity , then on average you will go at velocity 2 (vi V2)i the harmonic mean. Kirkhoff's Law for parallel resistors goes: Resistances reduce in parallel.
Explanation / Answer
a )Kirchoff's law is fundamental of circuit theory.it quantifies how much current flowing and how the voltage varying in a circuit.we have two Kirchoff laws in circuit theory .
1) Kirchoff's current law : it states that current flowing into a node must be equal to current flowing out of it.
2)Kirchoff's voltage law : it states that the sum of voltages around a loop in a circuit must be 0.
b ) 3(reduction symbol)6 means division product of those two numbers by sum of those two numbers .So it gives us 3*6/3+6 =18/9 =2
#1) Use the formula a(reduction symbol) b=a*b/a+b given in many hands theorem.
a)((6/5)*(8/3))/((6/5)+(8/3)) =(48/15)/(58/15) =48/15 * 15/58 =48/58=24/29
b) (11*11/3*4)/((11/3)+(11/4)) =(121/12)/(77/12)=121/12 * 12/77 = 121/77 =11/7
c )(12/121)/(7/11) =12/121 *11/7=12/11 *1/7 =12/77
d )((6/7)*(9/5))/((6/7)-(9/5))= (54/35)/(30-63/35)=54/35 *(-35/33) = -54/33 = -18/11
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