nichrome 60 is a metal alloy commonly used for heating elements as a heater for liquid 20 gauge nichrome wire radius r 041 mm and an unknown length l is wrapped around a 10 cm diameter insul 87793

Nichrome-60 is a metal alloy commonly used for heating elements. As a heater for liquid, 20-gauge nichrome wire (radius r = 0.41 mm) and an unknown length L is wrapped around a 1.0 cm diameter insulating rod to form a spiral coil as illustrated in the figure. The resistance of this nichrome wire coil is 5.5 Î©. The resistivity of nichrome is 100 x 10^-8 Î©*m. a) Calculate the length of the nichrome wire. A potential difference of 8.0 V is placed across the ends of the nichrome coil. b) Calculate the power dissipated by the nichrome coil. Assuming all the heat (thermal energy) is transferred to the liquid, calculate the amount of thermal energy transferred to the liquid by the nichrome coil over 10 minutes. d) Suppose the wire is at room temperature and the potential difference applied is constant: The temperature of the wire rises as current flows through it. As the temperature rises, is there a change in the current? Why or why not?

In her bathroom, Mindy has an overhead heater that consists of a coiled wire made of nichrome that gets hot when turned on. The wire has a length of $3.0 \mathrm{m}$ when it is uncoiled. The heating element is attached to the normal $120 \mathrm{V}$ wiring, and when the wire is glowing red hot, it has a temperature of about $420^{\circ} \mathrm{C}$ and dissipates $2200 \mathrm{W}$ of power. Nichrome has a resistivity of $108 \times$ $10^{-8} \Omega \cdot \mathrm{m}$ at $20^{\circ} \mathrm{C}$ and a temperature coefficient of $\mathrm{re}-$ sistivity of $0.00040^{\circ} \mathrm{C}^{-1}$. (a) What is the resistance of the heater when it is turned on? (b) What current does the wire carry? (c) If the wire has a circular cross section, what is its diameter? Ignore the small changes in the wire's diameter and length due to changes in temperature. (d) When the heater is first turned on, it has not yet heated up, so it is operating at $20^{\circ} \mathrm{C}$. What is the current through the wire when it is first turned on?

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