Do these lights need a electronical source to turn on? I'm wanting to use these on a cake without wires.

Yes they will need a Batteronical thing (Loopacell CR1225) on the side of the cake and wires connecting to the LEDs. If you want to turn them off remove the batteronical source. If the button shaped CR1225 gets lost inside the cake then at least one of the party people will po*p it out pretty soon.

what size resistor should be used with 1 LED and a supply voltage of 5V?

How to choose a resistor for your LED: First you need to know two things about your LED. 1. The Forward Voltage 2. The operating current A typical LED will have a forward voltage of 2-3 Volts and an operating current of about 20mA (or 0.02A) Next, you need to know the voltage of your power source. Once you know these three things, it is just a little bit of simple math to identify the value of the resistor that you need. Step 1, subtract the forward voltage of your LED from the voltage of your power source. Step 2, divide the value you derived in step 1 by the operating current of your LED. This value that you get is the value of the resistor that you need. Lets walk through an example: Here are the values of our hypothetical LED and voltage source. LED: Forward Voltage: 2V Operating Current: 20mA Power Source: 5V Here is the math: Step 1, subtract the forward voltage of the LED (2V) from the voltage of the power source (5V). 5V - 2V = 3V Step 2, divide the value you derived in step 1 (3V) by the operating current of your LED (20mA). Note, you need to convert mA to A for this equation. To convert from mA to A, just move the decimal place three places to the left. 20mA converts to 0.02A 3/0.02 = 150 This means that you need a 150 Ohm resistor for this LED.

Are the "purple" ones actually ultra-violet? They seem very dim but I notice the security strip of a $20 bill starts glowing under them...

Ultra-violet is not visible. Wavelengths spans 10 nanometers (nm) to 400 nm. The strips are tuned to UV but near frequencies, e.g. violet, also work but not as well.

what size resistor do I need with a 16v power supply?

LED's in parallel need resistors for each parallel circuit since the voltage drop for a given current is slightly different for each diode--one of the diodes would be stressed much more than the other diodes if they are directly in parallel. The maximum current should not be greater than 20 ma, so 10 ma might be a more reasonable design goal. Depending on which color diode is selected, voltage drops may be between 1.8 Volts and 3.0 volts. Four 3.0 volt diodes in series would drop 12 volts leaving 4 volts for the resistor. 10 ma through a 480 ohm resistor would be 4.8 volts, so that should keep the current through the 3-volt diodes slightly under 10 ma. Four 1.8 volt diodes would drop 7.2 volts leaving 8.8 volts for the resistor. 10 ma through a 1 kohm resistor would be 10 volts, so that would keep the current through the 1.8-volt diodes under 10 ma.

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Description

💡 Light up your creativity with every color in the spectrum!

SAFE RELIABLE - Durable copper base and clear heads ensure long-lasting performance with easy replacement support.
COMPACT POWERHOUSE - Small water-drop shaped LEDs deliver efficient brightness with just 20mA current.
VERSATILE VIBRANT - From emerald green to colorful flash, customize your lighting with a full spectrum kit.
BRIGHTEN EVERY PROJECT - 100 clear 5mm LEDs in 10 stunning colors to make your DIY and tech projects pop.
PERFECT FOR MAKERS INNOVATORS - Ideal for students, hobbyists, and professionals repairing or creating circuits.

The EBOOT 100 Pieces Clear LED Kit features 5mm water-drop shaped LEDs in 10 vibrant colors, each operating efficiently at 20mA max current. Perfect for DIY projects, educational experiments, and electronic repairs, these compact LEDs offer bright, reliable illumination with a durable copper base and clear heads, making them a must-have for creative professionals and makers alike.

Specifications

Brand	EBOOT
Light Type	LED
Special Feature	No
Bulb Base	E27
Incandescent Equivalent Wattage	0.27 Watts
Specific Uses For Product	Interior
Light Color	White, yellow
Voltage	32 Volts
Number of Items	10
Shape	water drop shape round
Material	copper
Indoor/Outdoor Usage	Indoor
Power Source	Corded Electric
Item Package Quantity	1
Light Source Type	LED
Item Weight	36 Grams
Control Method	Remote
White Brightness	4 Lumens
Efficiency	Efficient
Manufacturer	eBoot
UPC	712971917712
Part Number	EBOOT-BULBS-03
Item Weight	1.27 ounces
Product Dimensions	0.98 x 0.2 x 0.2 inches
Item model number	LN0628
Is Discontinued By Manufacturer	No
Assembled Height	0.5 centimeters
Assembled Length	2.5 centimeters
Assembled Width	0.5 centimeters
Color	Multicolor
Special Features	No
Batteries Included?	No
Batteries Required?	No