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Why there is algebric sum of the resistances in the series combination?
Wiki User
∙ 13y ago
Ohms Law will be helpful in seeing how resistances add up. Let's assume you have a 10 ohm and a 20 ohm resistor in series and 30 Volts. across the series.
Ohm's Law states that Voltage = Resistance x Current. If we describe the 10 ohm resistor as R1 and the other as R2 then the voltage drop across R1 is V1 and V2 is the drop across R2. This can be written V1 = R1 x I1 and V2 = R2 x I2. Since the total voltage must equal the sum of the voltage drops then Vtot = V1 + V2. Also Itot = I1 + I2. Substituting we get Vtot = (I1 x R1) + (I2 x R2) = (I1 + I2) x (R1 + R2). And Vtot = Itot x Rtot so Rtot = R1 + R2.
In example 30 Volts = Itot x (10 + 20) or Itot = 1 amp.
Wiki User
∙ 13y ago
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What is the apparent rule for combining resistances in parallel circuits?
The effective conductance is the sum of the individual conductances. "Conductance" is the reciprocal of resistance. Expressing the rule in terms of resistances: 1 / R = 1 / R1 + 1 / R2 + 1 / R3 ... Where "R" is the effective (combined) resistance, and R1, R2, etc. are the individual resistances.
What is the strength of current in each resistor of a series circuit?
The current in each resistor in a series circuit is the same. Kirchoff's Current Law states that the sum of the currents entering a node must add up to zero. The connection between two resistors in a series circuit is a node. The current entering the node from one resistor is equal to the current leaving the node into the next resistor.
What will be the combined voltage if AC and DC in series circuit?
the sum of the two
What breed is Sun's dog the TV series Lost?
He is a Chinese Shar Pei. His real name is CH. Kauai King Caesars Dim Sum, but he goes by the name Dim Sum. He is an AKC Champion Shar Pei from Hawaii.
When you have watts in a series circuit do you add up the total or is it the reciprocal?
The power dissipated by the complete circuit, no matter whether it's a series or parallel one, is the simple sum of the power dissipated by each component of the circuit.
What happens to the brightness of the light bulbs in a series with a heater?
They dim as the total resistance of series of resistances is the sum of the resistances; and current = V/R.
How do you calculate the joint resistance in a series circuit with three resistances?
The resistance of a series circuit is simply the sum of the individual resistors.
How would it be connected so that the effectiveness of the resistance is the sum of the separate resistances?
In series.
What is kirchoff voltage law and kirchoff current law?
kirchoffs voltage law : the algebric sum of all voltage drop is equal to algebric sum of voltage risekirchoffs current law : algebric sum of all current entering at a node is equal to algebric sum of current leavingCommentIt's Kirchhoff, not 'Kirchoff'!
How to measure resistance of series combination?
When connected in series, the overall effective resistance of a bunch of individual resistors is the sum of the individual resistances. It's always more than the resistance of any individual. When connected in parallel, the reciprocal of the overall resistance of a bunch of individual resistors is the sum of the reciprocals of the individual resistances. It's always less than the resistance of any individual. When two resistors are connected in parallel, the overall effective resistance of the pair is (the product of the two individual resistances) divided by (the sum of the two individual resistances). It's always less than the smaller individual resistance.
What is law of combination of resistors?
The resistance of two or more resistors in series is the sum of their resistances. RS = sumI=1,N (RI) The resistance of two or more resistors in parallel is the inverse of the sum of the inverses of the resistances. This is the same as saying that the conductance of two or more resistors in parallel is the sum of their conductances. RP = 1 / sumI=1,N (1/RI)
When resistors are put in a series with each other the overall resistance is?
The effective resistance of several resistors in series is the sum of the individual resistances.
How is the total resistance in a series circuit is determined?
The total resistance in a series circuit is determined by adding (summing) the individual resistances of each component in the circuit.
How much electrical resistance would you expect an ohmmeter to indicate if it were connected across the combination of these two series connected resistors of 3.3 kilowatt ohms and 3.3 kilowatt ohms?
It would be the sum of the two resistances, as they are connected in series.
When two lengths of the same uniform wire are connected together the effective resistance is the sum of the separate resistances is this correct?
Yes. Resistances in series add up. RSERIES = Summation1toN RN
What is the rule for finding the total resistance of a number of resistors connected in series?
If the resistors are in series, then the total resistance is simply the sum of the resistances of each resistor.
To connect a pair of resistors so that their equivalent resistance is greater than the resistance of either one should you connect them in series or in parallel?
When many resistances are connected in series, the equivalent resistance is greater than the greatest single resistance. When many resistances are connected in parallel, the equivalent resistance is less than the smallest single resistance.
