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Have you ever used those tiny holiday lights that come in strings If one bulb burns out, the whole set of bulbs goes dark; then you have to find out which bulb is bad, and replace it to get the lights working again. Each bulb works with something like 10 V; there are about a dozen bulbs in the string. You plug in the whole bunch and the 120-V utility mains drive just the right amount of current through each bulb. In a series circuit, such as a string of light bulbs (Fig. 5-1), the current at any given point is the same as the current at any other point. The ammeter, A, is shown in the line between two of the bulbs. If it were moved anywhere else along the current path, it would indicate the same current. This is true in any series dc circuit, no matter what the components actually are and regardless of whether or not they all have the same resistance. If the bulbs in Fig. 5-1 were of different resistances, some of them would consume more power than others. In case one of the bulbs in Fig. 5-1 burns out, and its socket is then shorted out instead of filled with a replacement bulb, the current through the whole chain will increase, because the overall resistance of the string would go down. This would force each of the remaining bulbs to carry too much current. Another bulb would probably burn out before long. If it, too, were replaced with a short circuit, the current 82

would be increased still further. A third bulb would probably blow out almost right away after the string was plugged in.

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Damodaran, Aswath, The Dark Side of Valuation. Prentice Hall, 2001. DeBondt, Werner, and Richard H. Thaler, Does the Stock Market Overreact. Journal of Finance, 40 (3) 1985. Dunbar, Nicholas, Inventing Money. Wiley, 2001. English, James R., Applied Equity Analysis. McGraw-Hill, 2001. Fama, Eugene F., Foundations of Finance. Basic Books, 1976. Fama, Eugene F., The Behavior of Stock Prices. The Journal of Business, January 1965. Eugene Fama, Random Walks in Stock Market Prices. Financial Analyst Journal, September October 1965. Fama, Eugene F., and Kenneth R. French, The Cross-Section of Expected Stock Returns. Journal of Finance, June 1992. Fama, Eugene F., and Kenneth R. French, Value versus Growth: The International Evidence. Journal of Finance, December 1998. Gray, Gary, Patrick J. Cusatis, and J. Randall Woolridge, Streetsmart Guide to Valuing a Stock. McGraw-Hill, 1999. Haugen, Robert A., The New Finance, The Case Against Efficient Markets. Prentice Hall, 1999. Ibbotson Associates, Stocks, Bonds, Bills and Inflation. Ibbotson Associates, annual. Jaffe, Jeffrey, Special Information and Insider Trading. Journal of Business, April 1974. Levitt, Arthur, and Paula Dwyer, Take on the Street. Pantheon Books, 2002. Malkiel, Burton G., A Random Walk Down Wall Street. W.W. Norton, 1999. McKelvey, Edward F., The Brave New Business Cycle: Its Implications for Corporate Profitability. U.S. Economic Research, Goldman, Sachs & Co, 1998. Modigliani, Franco, and Merton H., Dividend Policy, Growth and the Valuation of Shares. Journal of Business, 1961. O Shaugnessy, James P., What Works on Wall Street. McGraw-Hill, 1996. Rappaport, Alfred, and Michael J. Mauboussin, Expectations Investing. Harvard Business School Press, 2001. Reilly, Frank K., and Keith C. Brown, Investment Analysis Portfolio Management. Thomson South-Western, 2003.

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The bulbs in the string of Fig 5-1, being all the same, each get the same amount of voltage from the source If there are a dozen bulbs in a 120-V circuit, each bulb will have a potential difference of 10 V across it This will be true no matter how large or small the bulbs are, as long as they re all identical If you think about this for a moment, it s easy to see why it s true Look at the schematic diagram of Fig 5-2 Each resistor carries the same current Each resistor Rn has a potential difference En across it, equal to the product of the current and the resistance of that particular resistor These En s are in series, like cells in a battery, so they add together.

What if the En s across all the resistors added up to something more or less than the supply voltage, E Then there would have to be a phantom EMF some place, adding or taking away voltage But there is no such An EMF cannot come out of nowhere This principle will be formalized later in this chapter Look at this another way The voltmeter V in Fig 5-2 shows the voltage E of the battery, because the meter is hooked up across the battery The meter V also shows the sum of the En s across the set of resistors, because it s connected across the set of resistors The meter says the same thing whether you think of it as measuring the battery voltage E, or as measuring the sum of the En s across the series combination of resistors.

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Reinganum, Marc, Misspecification of Capital Asset Pricing: Empirical Anomalies Based on Earnings Yield and Market Value. Journal of Financial Economics, March 1981. Rosenburg, Barr, Kenneth Reid, and Ronald Lanstein, Persuasive Evidence of Market Efficiency. Journal of Portfolio Management, Spring 1985. Sharpe, Stephen, Stock Prices, Expected Returns and Inflation, unpublished paper, Federal Reserve Board, Washington, D.C., 1999. Shiller, Robert J., Irrational Exuberance. Broadway Books, 2000. Siegel, Jeremy J., Stocks for the Long Run. McGraw-Hill, 1998. Womack, Kevin, Do Brokerage Analysts Recommendations Have Investment Value. Journal of Finance, March 1996.

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