Textbook Question
A copper transmission cable km long and cm in diameter carries a current of A. How much electrical energy is dissipated as thermal energy every hour?
2
views
Ch 25: Current, Resistance, and EMF
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552
Not the one you use?Change textbookSelect a different textbook
Table of contents
- Ch 01: Units, Physical Quantities & Vectors37
- Ch 02: Motion Along a Straight Line57
- Ch 03: Motion in Two or Three Dimensions45
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws54
- Ch 06: Work & Kinetic Energy11
- Ch 07: Potential Energy & Conservation6
- Ch 08: Momentum, Impulse, and Collisions15
- Ch 09: Rotation of Rigid Bodies37
- Ch 10: Dynamics of Rotational Motion44
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics27
- Ch 13: Gravitation34
- Ch 14: Periodic Motion26
- Ch 15: Mechanical Waves22
- Ch 16: Sound & Hearing28
- Ch 17: Temperature and Heat28
- Ch 18: Thermal Properties of Matter35
- Ch 19: The First Law of Thermodynamics29
- Ch 20: The Second Law of Thermodynamics18
- Ch 21: Electric Charge and Electric Field28
- Ch 22: Gauss' Law21
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF24
- Ch 26: Direct-Current Circuits29
- Ch 27: Magnetic Field and Magnetic Forces16
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction22
- Ch 30: Inductance14
- Ch 31: Alternating Current20
- Ch 33: The Nature and Propagation of Light17
- Ch 34: Geometric Optics29
- Ch 35: Interference13
- Ch 36: Diffraction19
- Ch 37: Special Relativity19
- Ch 38: Photons: Light Waves Behaving as Particles12
- Ch 39: Particles Behaving as Waves25
- Ch 40: Quantum Mechanics I: Wave Functions20
- Ch 41: Quantum Mechanics II: Atomic Structure21
- Ch 42: Molecules and Condensed Matter17
- Ch 43: Nuclear Physics13
- Ch 44: Particle Physics and Cosmology17
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552Not the one you use?Change textbook
Chapter 25, Problem 28a
An idealized ammeter is connected to a battery as shown in Fig. E. Find the reading of the ammeter.
Verified step by step guidance1
First, identify the components in the circuit: a battery with a voltage of 12.0 V, a resistor with a resistance of 16.8 Ω, and another resistor with a resistance of 12.0 Ω. The ammeter is connected in series with the 12.0 Ω resistor.
To find the reading of the ammeter, we need to calculate the current flowing through the circuit. Use Ohm's Law, which states that the current (I) is equal to the voltage (V) divided by the total resistance (R) in the circuit: I = V / R.
Calculate the total resistance in the circuit. Since the resistors are in series, the total resistance is the sum of the individual resistances: R_total = 16.8 Ω + 12.0 Ω.
Substitute the values into Ohm's Law: I = 12.0 V / R_total. This will give you the current flowing through the circuit, which is the reading of the ammeter.
Ensure that the units are consistent and check your calculations for any errors. The ammeter reading will be in amperes (A), which is the standard unit for current.
Verified video answer for a similar problem:
This video solution was recommended by our tutors as helpful for the problem above.
Video duration:
3mWas this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Ohm's Law
Ohm's Law is a fundamental principle in electronics and electrical engineering, stating that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. It is mathematically expressed as I = V/R. This law is essential for calculating the current in the circuit shown in the image.
Recommended video:
Guided course
03:07
Resistance and Ohm's Law
Series and Parallel Circuits
In a series circuit, components are connected end-to-end, so the same current flows through each component. In a parallel circuit, components are connected across the same voltage source, allowing the current to divide among the paths. The circuit in the image is a series circuit, as the resistors and the ammeter are connected in a single loop, affecting how the total resistance and current are calculated.
Recommended video:
Guided course
09:51Combining Capacitors in Series & Parallel
Ideal Ammeter
An ideal ammeter is a device used to measure the current flowing through a circuit. It is assumed to have zero resistance, meaning it does not affect the current it measures. In the given circuit, the ammeter is connected in series with the resistors, and its reading will be the same as the current flowing through the entire circuit, calculated using Ohm's Law.
Recommended video:
Guided course
07:21Ideal Gases and the Ideal Gas Law
Related Practice
Textbook Question
The circuit shown in Fig. E contains two batteries, each with an emf and an internal resistance, and two resistors. Find the potential difference of point with respect to point .
1
views
Textbook Question
An idealized ammeter is connected to a battery as shown in Fig. E. Find the terminal voltage of the battery.
2
views
Textbook Question
In household wiring, copper wire mm in diameter is often used. Find the resistance of a -m length of this wire.
1
views
Textbook Question
An idealized ammeter is connected to a battery as shown in Fig. E. Find the current through the - resistor.
1
views
Textbook Question
What is the resistance of a carbon rod at °C if its resistance is at °C?
2
views