Hi Mikael,
Sorry, this will not work. Have a look at these specs;
1300 Series Power
Power
The access point/bridge receives inline power from the Cisco Aironet Power Injector (hereafter called the power injector). Dual-coax cables are used to provide Ethernet data and power from the power injector to the access point/bridge. The power injector is an external unit designed for operation in a sheltered environment, such as inside a building or vehicle. The power injector also functions as an Ethernet repeater by connecting to a Category 5 LAN backbone and using the dual-coax cable interface to the access point/bridge.
The power injector is available in two models:
Cisco Aironet Power Injector LR2 standard version (included with the access point/bridge)
48-VDC input power
Uses the 48-VDC power module (included with the access point/bridge)
Cisco Aironet Power Injector LR2T optional transportation version
12- to 40-VDC input power
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Note The power injector and the power module must not be placed in an outdoor unprotected environment. The power module must not be placed in a building's environmental air space, such as above a suspended ceiling.
http://www.cisco.com/en/US/products/ps5861/products_installation_guide_chapter09186a008079b93b.html#wp1051840
Dual coaxial cable to run from the power injector to the 1300. See attached notes:
Cisco Aironet 1300 Series
Cisco Aironet 1300 Series Access Point/Bridge Power Injector
The Cisco Aironet 1300 Series Outdoor Access Point/Bridge Power Injector,converts the standard 10/100 BaseT Ethernet interface that is suitable for weather protected areas to a dual F-Type connector interface for coax cables that are more suitable for harsh outdoor environments. The Power Injector also provides power to the outdoor unit over the same cables with a power discover feature and surge protection. To support longer cable runs from your wireless network switch or router, the Power Injector LR is designed to accommodate up to a 100 meter coaxial cable run plus 100 meters of indoor cat5 cable?enabling total cable runs up to 200 meters. The Cisco Aironet 1300 Series Outdoor Access Point/Bridge ships with the Power Injector LR2 and an AC power supply.
From this link:
http://www.cisco.com/en/US/products/ps5861/products_data_sheet09186a008022551d.html
Cisco Aironet 1300 Series Outdoor Access Point/Bridge Hardware Installation Guide
Ethernet Ports
The access point/bridge dual-coax Ethernet ports consists of a pair of 75-ohm F-type connectors, linking the unit to your 100BASE-T Ethernet LAN through the power injector. The dual-coax cables are used to send and receive Ethernet data and to supply inline 48-VDC power from the power injector to the access point/bridge.
From this link:
http://www.cisco.com/en/US/products/ps5861/products_installation_guide_book09186a00804d3095.html
AIR-PWRINJ-BLR2
F-Type Connectors
Dual coaxial cable carries full-duplex Ethernet, DC power, and full-duplex console port (RS-232 connection)
From this link:
http://www.cisco.com/en/US/products/ps5861/products_data_sheet09186a00802252e1.html
Hope this helps!
Rob
