Question 2. First read this background. You know that ALL appliances (and electrical outlets) in the United States are connected to a 120 V outlet. ALL appliances/devices also have a "power rating" or "rated power". This tells us two important things: b. (i) (ii) Now, try answering these: Your bedroom has a 60 W light bulb (that is understandably connected to a socket providing 120 V). You can therefore calculate its resistance just from the fact that you know it is a 60W bulb (designed to be connected to 120 V)! What is its resistance? a. Devices will therefore be able to provide the rated power ONLY IF the device gets 120 V; NOT otherwise. Since the "rated power" is defined assuming it will be hooked up to a 120 V outlet, we can calculate a device/appliances "resistance" using this fact. Clearly, the resistance so estimated will be fixed even if we don't provide 120 V (because, Resistance like Capacitance does NOT depend on I, V or Q). Now suppose you connect a 60 W bulb in series with a 100 W bulb and a 15 V battery. SHOW with a calculation WHY the 100W bulb will be dimmer than the 60 W bulb. Hint: First find the resistance of each bulb assuming they will be connected to 120V. THEN calculate numerical values of the power dissipated by each resistor. Show with numerical calculations that demonstrate that the 100W bulb will glow with less power than the 60 W bulb; i.e. the 100 W bulb be dimmer. durian from Dr. Dhar
Question 2. First read this background. You know that ALL appliances (and electrical outlets) in the United States are connected to a 120 V outlet. ALL appliances/devices also have a "power rating" or "rated power". This tells us two important things: b. (i) (ii) Now, try answering these: Your bedroom has a 60 W light bulb (that is understandably connected to a socket providing 120 V). You can therefore calculate its resistance just from the fact that you know it is a 60W bulb (designed to be connected to 120 V)! What is its resistance? a. Devices will therefore be able to provide the rated power ONLY IF the device gets 120 V; NOT otherwise. Since the "rated power" is defined assuming it will be hooked up to a 120 V outlet, we can calculate a device/appliances "resistance" using this fact. Clearly, the resistance so estimated will be fixed even if we don't provide 120 V (because, Resistance like Capacitance does NOT depend on I, V or Q). Now suppose you connect a 60 W bulb in series with a 100 W bulb and a 15 V battery. SHOW with a calculation WHY the 100W bulb will be dimmer than the 60 W bulb. Hint: First find the resistance of each bulb assuming they will be connected to 120V. THEN calculate numerical values of the power dissipated by each resistor. Show with numerical calculations that demonstrate that the 100W bulb will glow with less power than the 60 W bulb; i.e. the 100 W bulb be dimmer. durian from Dr. Dhar
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