Why do resistors placed in parallel allow a total current that is the sum of the...

Why do resistors placed in parallel allow a total current that is the sum of the currents that would occur for the individual resistors placed one by one in the same circuit? Explain in terms of Ohm's Law

Expert Solution

Ans..Ohm's Law necessarily means that current produced in a resistor depends only on Potential across it and its own resistance value. And also that current value across resistance does not change if potential difference across it doesn't change due to presence of any other element in the resistor since it current depends on potential difference only.

In case 1, potential across A-B is . And resistance with value is put between them . Lets say current was found to be .

In case 2, potential across A-B is . And resistance with value is put between them . Lets say current was found to be .

In case 3, potential difference between A-B is . Which implies potential difference across both and is . So,current is not affected if other resistance are joined in parallel without altering potential difference.

genius_generous answered 2 years ago

What happens to the total current through a parallel circuit as more resistors are added in...

What happens to the total current through a parallel circuit as more resistors are added in parallel? How, approximately, is the total voltage across a power source in a multi resistors connected in parallel related to the voltage across the individual resistors?

What is resistors in series and parallel? (Briefly explain) a.) Why do we need to learn...

What is resistors in series and parallel? (Briefly explain) a.) Why do we need to learn this topic? b.) How can we apply or use this knowledge in our daily lives.

Find the current through each resistor using the rules for series and parallel resistors.

Consider the circuit shown in the figure. Suppose the four resistors in this circuit have the values R1 = 12 Ω , R2 = 7.1 Ω , R3 = 7.1 Ω , and R4 = 13 Ω, and that the emf of the battery is E = 18 V.Part AFind the current through each resistor using the rules for series and parallel resistors.Express your answers using two significant figures separated by commas.I1,I2,I3,I4 =___________ A Part BFind the current through each resistor...

1. Three identical resistors are connected in parallel to a single battery. The current through the...

1. Three identical resistors are connected in parallel to a single battery. The current through the resistors must be... a. one-third of the current through the battery. b. the same for the resistors as for the battery. c. different for each resistor. d. higher for one resistor and lower for the other two. 2. A 6Ω and a 12Ω resistor are connected in series with a 36 volt battery,. How many Joules per second are dissipated by the 12Ω resistor....

explain current and circuits with resistors connected in series and in parallel. Also give examples. not...

explain current and circuits with resistors connected in series and in parallel. Also give examples. not by hand please and do not copy others work from chegg. Thanks

Two 60.0 Ω resistors are connected in parallel and this parallel arrangement is then connected in...

Two 60.0 Ω resistors are connected in parallel and this parallel arrangement is then connected in series with a 30.0 Ω resistor. The combination is placed across a 120V potential difference. Can you design the circuit diagram using above data? According to your observation show that total voltage is equal to the sum of the individual voltage and also show that total power dissipated is equal to the sum of the power dissipated by individual resistor. Also suggest what will...

1. Given a parallel circuit with a constant current source containing resistors of different values, which...

1. Given a parallel circuit with a constant current source containing resistors of different values, which statement is true? a. The voltage drop across the less resistive component is the same the ones with higher resistance b. Current is the same through each resistor c. The voltage drop across the less resistive component is less than the ones with higher resistance d. None of the above 2. The conductance of a resistor decreases if the length of the resistor is...

Two 7.1 Ω resistors are connected in parallel, as are two 3.1 Ω resistors. These two...

Two 7.1 Ω resistors are connected in parallel, as are two 3.1 Ω resistors. These two combinations are then connected in series in a circuit with a 19 V battery. What is the current in each resistor? What is the voltage across each resistor?

Two resistors 30 Ω and 50 Ω are connected in parallel and this parallel arrangement is...

Two resistors 30 Ω and 50 Ω are connected in parallel and this parallel arrangement is then connected in series with two resistors 20 Ω each. The combination is placed across a 10V potential difference. Hence construct the diagram of the above circuit. According to your observation evaluate the total current in the circuit and also the total power delivered to the resistors and also show that the total power dissipated is equal to the sum of the power dissipated...

20.Two 60.0 Ω resistors are connected in parallel and this parallel arrangement is then connected in...

20.Two 60.0 Ω resistors are connected in parallel and this parallel arrangement is then connected in series with a 30.0 Ω resistor. The combination is placed across a 120V potential difference. Can you design the circuit diagram using above data? According to your observation show that total voltage is equal to the sum of the individual voltage and also show that total power dissipated is equal to the sum of the power dissipated by individual resistor. Also suggest what will...

Question