Math Problem Statement
- គេភ្ជាប់ប៉ូលទាំងពីរ នៃជនិតា មួយដែលមានកម្លាំង អគ្គិសនីចលករ E=12V និងមាន រេស៊ីស្តង់ក្នុង r= 1Ω ទៅអោយម៉ូទ័រអគ្គិសនីមួយ ដែលមានកម្លាំង ច្រាសអគ្គិសនីចលករ។ E'= 3V និង រេស៊ីស្តង់ ក្នុង r'= 2Ω ។ ក. គណនាអងតង់ស៊ីតេ ចរន្តដែលឆ្លងកាត់សៀវគ្វី ។ ខ. គណនាតង់ស្យុង នៃជនិតា ។ Please tell me
Solution
We are given a circuit that consists of a battery (with an electromotive force and internal resistance ) connected to an electric motor (with a back electromotive force and internal resistance ).
(ក) គណនាអងតង់ស៊ីតេ ចរន្តដែលឆ្លងកាត់សៀវគ្វី (Calculate the current passing through the circuit):
To calculate the current () passing through the circuit, we can use Kirchhoff's loop rule, which states:
Solving for :
Substitute the given values:
So, the current passing through the circuit is 3 Amperes.
(ខ) គណនាតង់ស្យុង នៃជនិតា (Calculate the terminal voltage of the battery):
The terminal voltage of the battery can be calculated using the formula:
Substitute the values:
So, the terminal voltage of the battery is 9 Volts.
Do you want more details or have any questions about these calculations?
Here are some related questions you might find helpful:
- How does the internal resistance of the battery affect the circuit?
- What is the significance of back electromotive force () in the motor?
- How would the current change if the internal resistance of the motor increased?
- What happens to the terminal voltage if the current in the circuit increases?
- How does Kirchhoff's loop rule apply to more complex circuits?
- Can you explain the difference between electromotive force and terminal voltage?
- How would the circuit behave if there was no internal resistance in the battery?
- What is the power dissipated in the internal resistance of the motor?
Tip: Always double-check your calculations by ensuring that the units are consistent throughout the problem.
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Math Problem Analysis
Mathematical Concepts
Electric circuits
Kirchhoff's laws
Ohm's law
Formulas
Kirchhoff's loop rule
Ohm's law
Theorems
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Suitable Grade Level
Undergraduate level