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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 ac?
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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 5b
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?
Guida verificata passo dopo passo1
Identify the resistors in the triangular array: 18.0 Ω, 22.0 Ω, and 13.0 Ω.
Since the battery is connected across points b and c, determine which resistors are in series or parallel between these points.
Calculate the equivalent resistance of the resistors between points b and c. If resistors are in series, add their resistances. If in parallel, use the formula: 1/R_eq = 1/R1 + 1/R2 + ...
Once the equivalent resistance (R_eq) is found, use Ohm's Law to find the current drawn from the battery: I = V/R_eq, where V is the voltage of the battery (35.0 V).
Substitute the known values into the equation to solve for the current I, ensuring all units are consistent.
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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 a circuit when the voltage and resistance are known.
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Percorso guidato
03:07
Resistance and Ohm's Law
Series and Parallel Circuits
In a series circuit, resistors are arranged in a single path, so the same current flows through each resistor. The total resistance is the sum of individual resistances. In a parallel circuit, resistors are connected across the same two points, providing multiple paths for the current. The total resistance in a parallel circuit is found using the reciprocal formula: 1/R_total = 1/R1 + 1/R2 + ... + 1/Rn. Understanding these configurations is crucial for analyzing complex circuits.
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09:51Combining Capacitors in Series & Parallel
Kirchhoff's Voltage Law
Kirchhoff's Voltage Law (KVL) states that the sum of the electrical potential differences (voltage) around any closed network is zero. This principle is used to analyze the voltage drops across components in a circuit loop, ensuring that the total voltage supplied by sources equals the total voltage drop across the resistors. KVL is vital for solving circuits with multiple loops and branches, as it helps in setting up equations to find unknown values.
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04:08Kirchhoff's Junction Rule
Pratica correlata
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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?
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A triangular array of resistors is shown in Fig. E26.5. If the battery has an internal resistance of 3.00Ω, what current will the array draw if the battery is connected across bc?
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Power Rating of a Resistor. The power rating of a resistor is the maximum power the resistor can safely dissipate without too great a rise in temperature and hence damage to the resistor. If the power rating of a 15 kΩ resistor is 5.0 W, what is the maximum allowable potential difference across the terminals of the resistor?
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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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