Domanda del libro di testo
A triangular array of resistors is shown in Fig. E26.5. What current will this array draw from a 35.0 V battery having negligible internal resistance if we connect it across bc?
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Ch 26: Direct-Current Circuits
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610
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TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors41
- Ch 02: Motion Along a Straight Line67
- Ch 03: Motion in Two or Three Dimensions47
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws59
- Ch 06: Work & Kinetic Energy14
- Ch 07: Potential Energy & Conservation8
- Ch 08: Momentum, Impulse, and Collisions18
- Ch 09: Rotation of Rigid Bodies42
- Ch 10: Dynamics of Rotational Motion48
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics31
- Ch 13: Gravitation35
- Ch 14: Periodic Motion32
- Ch 15: Mechanical Waves25
- Ch 16: Sound & Hearing32
- Ch 17: Temperature and Heat36
- Ch 18: Thermal Properties of Matter38
- Ch 19: The First Law of Thermodynamics33
- Ch 20: The Second Law of Thermodynamics22
- Ch 21: Electric Charge and Electric Field36
- Ch 22: Gauss' Law24
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF26
- Ch 26: Direct-Current Circuits30
- Ch 27: Magnetic Field and Magnetic Forces18
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction28
- Ch 30: Inductance17
- Ch 31: Alternating Current21
- Ch 32: Electromagnetic Waves1
- Ch 33: The Nature and Propagation of Light20
- Ch 34: Geometric Optics34
- Ch 35: Interference19
- Ch 36: Diffraction25
- Ch 37: Special Relativity20
- Ch 38: Photons: Light Waves Behaving as Particles15
- Ch 39: Particles Behaving as Waves26
- Ch 40: Quantum Mechanics I: Wave Functions21
- Ch 41: Quantum Mechanics II: Atomic Structure25
- Ch 42: Molecules and Condensed Matter18
- Ch 43: Nuclear Physics16
- Ch 44: Particle Physics and Cosmology23
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610Non è quello che usi tu?Cambia libro di testo
Capitolo 26, Problema 1
A uniform wire of resistance R is cut into three equal lengths. One of these is formed into a circle and connected between the other two (Fig. E26.1). What is the resistance between the opposite ends a and b?
Guida verificata passo dopo passo1
First, understand the configuration of the circuit. The wire of resistance R is divided into three equal parts, each with resistance R/3. One part is formed into a circle, and the other two parts are connected in series with the circle.
Identify the resistances in the circuit. The circle formed by one part of the wire has a resistance of R/3. The other two parts, each with resistance R/3, are connected in series with the circle.
Calculate the equivalent resistance of the circle. Since the circle is connected between two points, it acts as a parallel resistor to the other two resistors. The equivalent resistance of the circle is R/3.
Determine the total resistance between points a and b. The two resistors in series (each R/3) have a combined resistance of 2R/3. The circle (R/3) is in parallel with this series combination.
Use the formula for parallel resistors to find the total resistance: \( R_{total} = \frac{1}{\frac{1}{R_{series}} + \frac{1}{R_{circle}}} \), where \( R_{series} = 2R/3 \) and \( R_{circle} = R/3 \). Calculate the equivalent resistance using this formula.
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Resistance in Series and Parallel
In a circuit, resistors can be arranged in series or parallel, affecting the total resistance. For resistors in series, the total resistance is the sum of individual resistances. In parallel, the reciprocal of the total resistance is the sum of the reciprocals of individual resistances. Understanding these arrangements is crucial for calculating the equivalent resistance in complex circuits.
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12:42
Combining Resistors in Series & Parallel
Equivalent Resistance
Equivalent resistance is the single resistance that can replace a combination of resistors without changing the current or voltage in the circuit. It simplifies the analysis of circuits by reducing multiple resistors to a single value. Calculating equivalent resistance involves identifying series and parallel connections and applying the appropriate formulas.
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03:44Find Equivalent Capacitance #1
Symmetry in Circuits
Symmetry in circuits can simplify the analysis by allowing certain assumptions about current distribution. If a circuit is symmetric, components may share equal current or voltage, reducing complexity. Recognizing symmetry can help identify points where potential differences are zero, aiding in the calculation of equivalent resistance.
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12:39Solving Symmetric Launch Problems
Pratica correlata
Domanda del libro di testo
A machine part has a resistor X protruding from an opening in the side. This resistor is connected to three other resistors, as shown in Fig. E26.2. An ohmmeter connected across a and b reads 2.00 Ω. What is the resistance of X?
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Domanda del libro di testo
A triangular array of resistors is shown in Fig. E26.5. What current will this array draw from a 35.0 V battery having negligible internal resistance if we connect it across ab?
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