1. The correct answer is will become sixteen times (option D). Resistance of a wire is inversely proportional to the cross-sectional area of the wire, which is directly proportional to the square of its radius. Halving the radius of a wire decreases its cross-sectional area by a factor of four (since aRead more

    The correct answer is will become sixteen times (option D). Resistance of a wire is inversely proportional to the cross-sectional area of the wire, which is directly proportional to the square of its radius. Halving the radius of a wire decreases its cross-sectional area by a factor of four (since area is proportional to the square of the radius). As resistance is inversely proportional to the area, the resistance will increase by a factor of four squared, which is sixteen. Therefore, if the radius of a wire is halved, its resistance will increase sixteen times. This relationship is important in understanding how the physical dimensions of a conductor affect its electrical properties, such as resistance, in electrical and electronic applications.

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  2. The correct answer is Ohm's law (option D). Ohm's law describes the fundamental relationship between voltage (potential difference), current, and resistance in an electrical circuit. According to Ohm's law, when a conductor has a constant resistance, the potential difference (voltage) between its enRead more

    The correct answer is Ohm’s law (option D). Ohm’s law describes the fundamental relationship between voltage (potential difference), current, and resistance in an electrical circuit. According to Ohm’s law, when a conductor has a constant resistance, the potential difference (voltage) between its ends is directly proportional to the current flowing through it. This means that if the current increases, the voltage increases proportionally, and vice versa, under constant temperature conditions. Ohm’s law is essential for designing and analyzing electrical circuits, determining the proper operation of components like resistors, and calculating the power dissipation in circuits. It provides a foundational principle for understanding how electrical parameters interact and influence each other in various applications, from household wiring to complex industrial electronics. Understanding Ohm’s law is crucial for engineers and technicians in ensuring the efficient and safe operation of electrical systems.

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  3. The correct answer is in parallel (option C). Household electrical appliances like fans and bulbs are generally installed in parallel. In a parallel circuit, each appliance has its own separate connection to the power supply. This configuration allows each appliance to operate independently of the oRead more

    The correct answer is in parallel (option C). Household electrical appliances like fans and bulbs are generally installed in parallel. In a parallel circuit, each appliance has its own separate connection to the power supply. This configuration allows each appliance to operate independently of the others. If one appliance is turned off or malfunctions, the others remain unaffected and continue to function normally. This setup is convenient for household applications because it provides flexibility in operation and maintenance. It also ensures that the failure of one appliance does not affect the operation of others, enhancing reliability and convenience. Parallel installation is common in homes to accommodate the diverse usage patterns and preferences of occupants, allowing different appliances to be controlled and used independently as needed.

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  4. The correct answer is Ohm (Ω) (option D). Resistance, a fundamental property in electricity, is measured in ohms (Ω). This unit is named after the German physicist Georg Simon Ohm, who extensively studied electrical circuits and formulated Ohm's law. Resistance represents how much a material or deviRead more

    The correct answer is Ohm (Ω) (option D). Resistance, a fundamental property in electricity, is measured in ohms (Ω). This unit is named after the German physicist Georg Simon Ohm, who extensively studied electrical circuits and formulated Ohm’s law. Resistance represents how much a material or device impedes the flow of electric current. It is essential in designing circuits to control current flow and manage power dissipation. The ohm is universally recognized as the unit for resistance in the International System of Units (SI), providing a standardized measure across scientific and engineering disciplines. Understanding resistance is fundamental for optimizing the performance of electronic components, designing efficient electrical networks, and ensuring the safe operation of electrical devices by controlling current levels appropriately.

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  5. The correct answer is 0.25A (option B). Ohm's law dictates that the current flowing through a conductor is directly proportional to the voltage applied across it and inversely proportional to its resistance. In this case, with a resistance of 440 ohms and a voltage of 110 volts, the resulting currenRead more

    The correct answer is 0.25A (option B). Ohm’s law dictates that the current flowing through a conductor is directly proportional to the voltage applied across it and inversely proportional to its resistance. In this case, with a resistance of 440 ohms and a voltage of 110 volts, the resulting current is 0.25 amperes. This relationship is essential in designing and analyzing electrical circuits, allowing engineers to predict current flow based on known voltage and resistance values without needing to use the formula explicitly. Understanding Ohm’s law helps ensure efficient and safe operation of electrical systems by providing insights into how different components interact under varying conditions of voltage and resistance.

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