Calculating Max Voltage Across Resistor Network

In summary, a 2.8k-ohm and a 2.1k-ohm resistor connected in parallel with a 1.8k-ohm resistor in series have a maximum voltage that can be applied across the whole network, given that each resistor is rated at 0.5W. By using Ohm's Law and the power equations for resistors, the maximum voltage and current for each resistor can be found. From there, the problem can be solved as a normal combination of resistor problems and the maximum voltage for the entire circuit can be calculated.
  • #1
Jstew
18
0

Homework Statement


A 2.8k-ohm and a 2.1k-ohm ersistor are connected in parallel; this combination is connected in series with a 1.8k-ohm resistor. If each resistor is rated at .5W, what is the maximum voltage that can be applied across the whole network?


Homework Equations


Ohm's Law, P=IV


The Attempt at a Solution


I don't even know where to start with this problem.
 
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  • #2
When they say that each resistor is rated at 0.5 W, what information can you get from that for each resistor? Remember the expressions for power in a resistor.
 
  • #3
P=V^2/R, so V^2=R/2 I don't know what to do with these individual maximum voltages.
 
  • #4
You have P= V^2 / R, and also P = I^2 R for Ohm's law resistors. Since you know the maximum power that each resistor can handle, these give you the maximum voltage and maximum current for each resistor.

So with these constraints, solve the problem as a normal combination of resistor problems, just with an unkown voltage. Then you can use the above constraint to find that maximum voltage for the entire circuit.
 

1. How do you calculate the maximum voltage across a resistor network?

The maximum voltage across a resistor network can be calculated by using Ohm's Law, which states that voltage (V) is equal to current (I) multiplied by resistance (R). Therefore, the maximum voltage can be found by multiplying the current flowing through the network by the total resistance of the network.

2. What is the purpose of calculating the maximum voltage across a resistor network?

Calculating the maximum voltage across a resistor network is important in order to determine the potential stress on the components within the network. This information is crucial for designing and building electronic circuits that can handle the expected voltage levels without causing damage.

3. How do you determine the total resistance of a resistor network?

The total resistance of a resistor network can be found by using Ohm's Law and applying the rules for series and parallel resistors. For resistors in series, the total resistance is equal to the sum of individual resistances. For resistors in parallel, the total resistance is equal to the inverse of the sum of the inverse of each individual resistance.

4. What factors can affect the maximum voltage across a resistor network?

The maximum voltage across a resistor network can be affected by several factors, including the type and value of the resistors used, the temperature and humidity of the environment, and the amount of current flowing through the network. These factors can all impact the performance and reliability of the network.

5. Can the maximum voltage across a resistor network be exceeded?

Yes, it is possible for the maximum voltage across a resistor network to be exceeded. This can happen if there is a power surge or if the network is subject to unexpected or excessive current. In these cases, the network may fail or become damaged. It is important to design and build resistor networks with a safety margin to prevent exceeding the maximum voltage.

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